Finding the Third Proportional to 71,649 and 110,767.50

Step by Step Solution

1. Step 1: Write the proportion equation
   71,649 : 110,767.50 = 110,767.50 : x
2. Step 2: Convert to fraction form
   71,649/110,767.50 = 110,767.50/x
3. Step 3: Cross multiply
   71,649x = 110,767.50 × 110,767.50
4. Step 4: Simplify right side
   71,649x = 12,269,439,056.25
5. Step 5: Solve for x
   x = 12,269,439,056.25/71,649
6. Step 6: Final answer
   x = 171,243.69