Finding the Third Proportional to 76,312.50 and 165,762

Step by Step Solution

1. Step 1: Write the proportion equation
   76,312.50 : 165,762 = 165,762 : x
2. Step 2: Convert to fraction form
   76,312.50/165,762 = 165,762/x
3. Step 3: Cross multiply
   76,312.50x = 165,762 × 165,762
4. Step 4: Simplify right side
   76,312.50x = 27,477,040,644
5. Step 5: Solve for x
   x = 27,477,040,644/76,312.50
6. Step 6: Final answer
   x = 360,059.50