Finding the Third Proportional to 83,232 and 182,009.25

Step by Step Solution

1. Step 1: Write the proportion equation
   83,232 : 182,009.25 = 182,009.25 : x
2. Step 2: Convert to fraction form
   83,232/182,009.25 = 182,009.25/x
3. Step 3: Cross multiply
   83,232x = 182,009.25 × 182,009.25
4. Step 4: Simplify right side
   83,232x = 33,127,367,085.56
5. Step 5: Solve for x
   x = 33,127,367,085.56/83,232
6. Step 6: Final answer
   x = 398,012.39