Finding the Third Proportional to 80,757 and 187,672.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,757 : 187,672.50 = 187,672.50 : x
2. Step 2: Convert to fraction form
   80,757/187,672.50 = 187,672.50/x
3. Step 3: Cross multiply
   80,757x = 187,672.50 × 187,672.50
4. Step 4: Simplify right side
   80,757x = 35,220,967,256.25
5. Step 5: Solve for x
   x = 35,220,967,256.25/80,757
6. Step 6: Final answer
   x = 436,135.16