Finding the Third Proportional to 76,171.50 and 165,055.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,171.50 : 165,055.50 = 165,055.50 : x
2. Step 2: Convert to fraction form
   76,171.50/165,055.50 = 165,055.50/x
3. Step 3: Cross multiply
   76,171.50x = 165,055.50 × 165,055.50
4. Step 4: Simplify right side
   76,171.50x = 27,243,318,080.25
5. Step 5: Solve for x
   x = 27,243,318,080.25/76,171.50
6. Step 6: Final answer
   x = 357,657.63