Finding the Third Proportional to 65,165.34 and 142,785.28

Step by Step Solution

1. Step 1: Write the proportion equation
   65,165.34 : 142,785.28 = 142,785.28 : x
2. Step 2: Convert to fraction form
   65,165.34/142,785.28 = 142,785.28/x
3. Step 3: Cross multiply
   65,165.34x = 142,785.28 × 142,785.28
4. Step 4: Simplify right side
   65,165.34x = 20,387,636,541.64
5. Step 5: Solve for x
   x = 20,387,636,541.64/65,165.34
6. Step 6: Final answer
   x = 312,860.11