Finding the Third Proportional to 382,043,142,702 and 817,754,268,129

Step by Step Solution

1. Step 1: Write the proportion equation
   382,043,142,702 : 817,754,268,129 = 817,754,268,129 : x
2. Step 2: Convert to fraction form
   382,043,142,702/817,754,268,129 = 817,754,268,129/x
3. Step 3: Cross multiply
   382,043,142,702x = 817,754,268,129 × 817,754,268,129
4. Step 4: Simplify right side
   382,043,142,702x = 668,722,043,043,196,384,051,200
5. Step 5: Solve for x
   x = 668,722,043,043,196,384,051,200/382,043,142,702
6. Step 6: Final answer
   x = 1,750,383,577,921.75