Finding the Third Proportional to 102,019 and 153,029.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,019 : 153,029.50 = 153,029.50 : x
2. Step 2: Convert to fraction form
   102,019/153,029.50 = 153,029.50/x
3. Step 3: Cross multiply
   102,019x = 153,029.50 × 153,029.50
4. Step 4: Simplify right side
   102,019x = 23,418,027,870.25
5. Step 5: Solve for x
   x = 23,418,027,870.25/102,019
6. Step 6: Final answer
   x = 229,545.75