Finding the Third Proportional to 81,607.50 and 177,714

Step by Step Solution

1. Step 1: Write the proportion equation
   81,607.50 : 177,714 = 177,714 : x
2. Step 2: Convert to fraction form
   81,607.50/177,714 = 177,714/x
3. Step 3: Cross multiply
   81,607.50x = 177,714 × 177,714
4. Step 4: Simplify right side
   81,607.50x = 31,582,265,796
5. Step 5: Solve for x
   x = 31,582,265,796/81,607.50
6. Step 6: Final answer
   x = 387,002.00