Finding the Third Proportional to 102,578.50 and 162,292

Step by Step Solution

1. Step 1: Write the proportion equation
   102,578.50 : 162,292 = 162,292 : x
2. Step 2: Convert to fraction form
   102,578.50/162,292 = 162,292/x
3. Step 3: Cross multiply
   102,578.50x = 162,292 × 162,292
4. Step 4: Simplify right side
   102,578.50x = 26,338,693,264
5. Step 5: Solve for x
   x = 26,338,693,264/102,578.50
6. Step 6: Final answer
   x = 256,766.22