Finding the Third Proportional to 76,666.50 and 162,445.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,666.50 : 162,445.50 = 162,445.50 : x
2. Step 2: Convert to fraction form
   76,666.50/162,445.50 = 162,445.50/x
3. Step 3: Cross multiply
   76,666.50x = 162,445.50 × 162,445.50
4. Step 4: Simplify right side
   76,666.50x = 26,388,540,470.25
5. Step 5: Solve for x
   x = 26,388,540,470.25/76,666.50
6. Step 6: Final answer
   x = 344,199.10