Finding the Third Proportional to 102,132 and 152,580

Step by Step Solution

1. Step 1: Write the proportion equation
   102,132 : 152,580 = 152,580 : x
2. Step 2: Convert to fraction form
   102,132/152,580 = 152,580/x
3. Step 3: Cross multiply
   102,132x = 152,580 × 152,580
4. Step 4: Simplify right side
   102,132x = 23,280,656,400
5. Step 5: Solve for x
   x = 23,280,656,400/102,132
6. Step 6: Final answer
   x = 227,946.74