Finding the Third Proportional to 72,460 and 152,840

Step by Step Solution

1. Step 1: Write the proportion equation
   72,460 : 152,840 = 152,840 : x
2. Step 2: Convert to fraction form
   72,460/152,840 = 152,840/x
3. Step 3: Cross multiply
   72,460x = 152,840 × 152,840
4. Step 4: Simplify right side
   72,460x = 23,360,065,600
5. Step 5: Solve for x
   x = 23,360,065,600/72,460
6. Step 6: Final answer
   x = 322,385.67