Finding the Third Proportional to 102,018.50 and 153,028.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,018.50 : 153,028.50 = 153,028.50 : x
2. Step 2: Convert to fraction form
   102,018.50/153,028.50 = 153,028.50/x
3. Step 3: Cross multiply
   102,018.50x = 153,028.50 × 153,028.50
4. Step 4: Simplify right side
   102,018.50x = 23,417,721,812.25
5. Step 5: Solve for x
   x = 23,417,721,812.25/102,018.50
6. Step 6: Final answer
   x = 229,543.88