Finding the Third Proportional to 31,257 and 68,233.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,257 : 68,233.50 = 68,233.50 : x
2. Step 2: Convert to fraction form
   31,257/68,233.50 = 68,233.50/x
3. Step 3: Cross multiply
   31,257x = 68,233.50 × 68,233.50
4. Step 4: Simplify right side
   31,257x = 4,655,810,522.25
5. Step 5: Solve for x
   x = 4,655,810,522.25/31,257
6. Step 6: Final answer
   x = 148,952.57