Finding the Third Proportional to 102,162 and 153,382.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,162 : 153,382.50 = 153,382.50 : x
2. Step 2: Convert to fraction form
   102,162/153,382.50 = 153,382.50/x
3. Step 3: Cross multiply
   102,162x = 153,382.50 × 153,382.50
4. Step 4: Simplify right side
   102,162x = 23,526,191,306.25
5. Step 5: Solve for x
   x = 23,526,191,306.25/102,162
6. Step 6: Final answer
   x = 230,283.19