Finding the Third Proportional to 40,902 and 87,631.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,902 : 87,631.50 = 87,631.50 : x
2. Step 2: Convert to fraction form
   40,902/87,631.50 = 87,631.50/x
3. Step 3: Cross multiply
   40,902x = 87,631.50 × 87,631.50
4. Step 4: Simplify right side
   40,902x = 7,679,279,792.25
5. Step 5: Solve for x
   x = 7,679,279,792.25/40,902
6. Step 6: Final answer
   x = 187,748.27