Finding the Third Proportional to 382,043,142,706 and 817,754,268,138

Step by Step Solution

1. Step 1: Write the proportion equation
   382,043,142,706 : 817,754,268,138 = 817,754,268,138 : x
2. Step 2: Convert to fraction form
   382,043,142,706/817,754,268,138 = 817,754,268,138/x
3. Step 3: Cross multiply
   382,043,142,706x = 817,754,268,138 × 817,754,268,138
4. Step 4: Simplify right side
   382,043,142,706x = 668,722,043,057,916,042,280,960
5. Step 5: Solve for x
   x = 668,722,043,057,916,042,280,960/382,043,142,706
6. Step 6: Final answer
   x = 1,750,383,577,941.95