Finding the Third Proportional to 40,268.25 and 85,720.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,268.25 : 85,720.50 = 85,720.50 : x
2. Step 2: Convert to fraction form
   40,268.25/85,720.50 = 85,720.50/x
3. Step 3: Cross multiply
   40,268.25x = 85,720.50 × 85,720.50
4. Step 4: Simplify right side
   40,268.25x = 7,348,004,120.25
5. Step 5: Solve for x
   x = 7,348,004,120.25/40,268.25
6. Step 6: Final answer
   x = 182,476.37