Finding the Third Proportional to 72,464 and 153,624

Step by Step Solution

1. Step 1: Write the proportion equation
   72,464 : 153,624 = 153,624 : x
2. Step 2: Convert to fraction form
   72,464/153,624 = 153,624/x
3. Step 3: Cross multiply
   72,464x = 153,624 × 153,624
4. Step 4: Simplify right side
   72,464x = 23,600,333,376
5. Step 5: Solve for x
   x = 23,600,333,376/72,464
6. Step 6: Final answer
   x = 325,683.56