Finding the Third Proportional to 88,142.50 and 180,978.50

Step by Step Solution

1. Step 1: Write the proportion equation
   88,142.50 : 180,978.50 = 180,978.50 : x
2. Step 2: Convert to fraction form
   88,142.50/180,978.50 = 180,978.50/x
3. Step 3: Cross multiply
   88,142.50x = 180,978.50 × 180,978.50
4. Step 4: Simplify right side
   88,142.50x = 32,753,217,462.25
5. Step 5: Solve for x
   x = 32,753,217,462.25/88,142.50
6. Step 6: Final answer
   x = 371,593.92