Finding the Third Proportional to 76,157.50 and 165,026

Step by Step Solution

1. Step 1: Write the proportion equation
   76,157.50 : 165,026 = 165,026 : x
2. Step 2: Convert to fraction form
   76,157.50/165,026 = 165,026/x
3. Step 3: Cross multiply
   76,157.50x = 165,026 × 165,026
4. Step 4: Simplify right side
   76,157.50x = 27,233,580,676
5. Step 5: Solve for x
   x = 27,233,580,676/76,157.50
6. Step 6: Final answer
   x = 357,595.52