Finding the Third Proportional to 102,060 and 158,418

Step by Step Solution

1. Step 1: Write the proportion equation
   102,060 : 158,418 = 158,418 : x
2. Step 2: Convert to fraction form
   102,060/158,418 = 158,418/x
3. Step 3: Cross multiply
   102,060x = 158,418 × 158,418
4. Step 4: Simplify right side
   102,060x = 25,096,262,724
5. Step 5: Solve for x
   x = 25,096,262,724/102,060
6. Step 6: Final answer
   x = 245,897.15