Finding the Third Proportional to 68,538 and 102,238.50

Step by Step Solution

1. Step 1: Write the proportion equation
   68,538 : 102,238.50 = 102,238.50 : x
2. Step 2: Convert to fraction form
   68,538/102,238.50 = 102,238.50/x
3. Step 3: Cross multiply
   68,538x = 102,238.50 × 102,238.50
4. Step 4: Simplify right side
   68,538x = 10,452,710,882.25
5. Step 5: Solve for x
   x = 10,452,710,882.25/68,538
6. Step 6: Final answer
   x = 152,509.72