Finding the Third Proportional to 102,684 and 152,520

Step by Step Solution

1. Step 1: Write the proportion equation
   102,684 : 152,520 = 152,520 : x
2. Step 2: Convert to fraction form
   102,684/152,520 = 152,520/x
3. Step 3: Cross multiply
   102,684x = 152,520 × 152,520
4. Step 4: Simplify right side
   102,684x = 23,262,350,400
5. Step 5: Solve for x
   x = 23,262,350,400/102,684
6. Step 6: Final answer
   x = 226,543.09