Finding the Third Proportional to 55,206.56 and 85,642.31

Step by Step Solution

1. Step 1: Write the proportion equation
   55,206.56 : 85,642.31 = 85,642.31 : x
2. Step 2: Convert to fraction form
   55,206.56/85,642.31 = 85,642.31/x
3. Step 3: Cross multiply
   55,206.56x = 85,642.31 × 85,642.31
4. Step 4: Simplify right side
   55,206.56x = 7,334,605,690.35
5. Step 5: Solve for x
   x = 7,334,605,690.35/55,206.56
6. Step 6: Final answer
   x = 132,857.50