Finding the Third Proportional to 102,610.50 and 148,477.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,610.50 : 148,477.50 = 148,477.50 : x
2. Step 2: Convert to fraction form
   102,610.50/148,477.50 = 148,477.50/x
3. Step 3: Cross multiply
   102,610.50x = 148,477.50 × 148,477.50
4. Step 4: Simplify right side
   102,610.50x = 22,045,568,006.25
5. Step 5: Solve for x
   x = 22,045,568,006.25/102,610.50
6. Step 6: Final answer
   x = 214,847.10