Finding the Third Proportional to 102,161.50 and 153,382

Step by Step Solution

1. Step 1: Write the proportion equation
   102,161.50 : 153,382 = 153,382 : x
2. Step 2: Convert to fraction form
   102,161.50/153,382 = 153,382/x
3. Step 3: Cross multiply
   102,161.50x = 153,382 × 153,382
4. Step 4: Simplify right side
   102,161.50x = 23,526,037,924
5. Step 5: Solve for x
   x = 23,526,037,924/102,161.50
6. Step 6: Final answer
   x = 230,282.82