Finding the Third Proportional to 80,442 and 187,024.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,442 : 187,024.50 = 187,024.50 : x
2. Step 2: Convert to fraction form
   80,442/187,024.50 = 187,024.50/x
3. Step 3: Cross multiply
   80,442x = 187,024.50 × 187,024.50
4. Step 4: Simplify right side
   80,442x = 34,978,163,600.25
5. Step 5: Solve for x
   x = 34,978,163,600.25/80,442
6. Step 6: Final answer
   x = 434,824.64