Finding the Third Proportional to 102,013 and 153,019.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,013 : 153,019.50 = 153,019.50 : x
2. Step 2: Convert to fraction form
   102,013/153,019.50 = 153,019.50/x
3. Step 3: Cross multiply
   102,013x = 153,019.50 × 153,019.50
4. Step 4: Simplify right side
   102,013x = 23,414,967,380.25
5. Step 5: Solve for x
   x = 23,414,967,380.25/102,013
6. Step 6: Final answer
   x = 229,529.25