Finding the Third Proportional to 55,700 and 86,254

Step by Step Solution

1. Step 1: Write the proportion equation
   55,700 : 86,254 = 86,254 : x
2. Step 2: Convert to fraction form
   55,700/86,254 = 86,254/x
3. Step 3: Cross multiply
   55,700x = 86,254 × 86,254
4. Step 4: Simplify right side
   55,700x = 7,439,752,516
5. Step 5: Solve for x
   x = 7,439,752,516/55,700
6. Step 6: Final answer
   x = 133,568.27