Finding the Third Proportional to 40,200.05 and 85,738.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,200.05 : 85,738.50 = 85,738.50 : x
2. Step 2: Convert to fraction form
   40,200.05/85,738.50 = 85,738.50/x
3. Step 3: Cross multiply
   40,200.05x = 85,738.50 × 85,738.50
4. Step 4: Simplify right side
   40,200.05x = 7,351,090,382.25
5. Step 5: Solve for x
   x = 7,351,090,382.25/40,200.05
6. Step 6: Final answer
   x = 182,862.73