Finding the Third Proportional to 40,179 and 76,711.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,179 : 76,711.50 = 76,711.50 : x
2. Step 2: Convert to fraction form
   40,179/76,711.50 = 76,711.50/x
3. Step 3: Cross multiply
   40,179x = 76,711.50 × 76,711.50
4. Step 4: Simplify right side
   40,179x = 5,884,654,232.25
5. Step 5: Solve for x
   x = 5,884,654,232.25/40,179
6. Step 6: Final answer
   x = 146,460.94