Finding the Third Proportional to 76,600.50 and 165,498

Step by Step Solution

1. Step 1: Write the proportion equation
   76,600.50 : 165,498 = 165,498 : x
2. Step 2: Convert to fraction form
   76,600.50/165,498 = 165,498/x
3. Step 3: Cross multiply
   76,600.50x = 165,498 × 165,498
4. Step 4: Simplify right side
   76,600.50x = 27,389,588,004
5. Step 5: Solve for x
   x = 27,389,588,004/76,600.50
6. Step 6: Final answer
   x = 357,564.09