Finding the Third Proportional to 42,256 and 88,581.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,256 : 88,581.50 = 88,581.50 : x
2. Step 2: Convert to fraction form
   42,256/88,581.50 = 88,581.50/x
3. Step 3: Cross multiply
   42,256x = 88,581.50 × 88,581.50
4. Step 4: Simplify right side
   42,256x = 7,846,682,142.25
5. Step 5: Solve for x
   x = 7,846,682,142.25/42,256
6. Step 6: Final answer
   x = 185,693.92