Finding the Third Proportional to 72,460 and 152,780

Step by Step Solution

1. Step 1: Write the proportion equation
   72,460 : 152,780 = 152,780 : x
2. Step 2: Convert to fraction form
   72,460/152,780 = 152,780/x
3. Step 3: Cross multiply
   72,460x = 152,780 × 152,780
4. Step 4: Simplify right side
   72,460x = 23,341,728,400
5. Step 5: Solve for x
   x = 23,341,728,400/72,460
6. Step 6: Final answer
   x = 322,132.60