Finding the Third Proportional to 72,464 and 152,788

Step by Step Solution

1. Step 1: Write the proportion equation
   72,464 : 152,788 = 152,788 : x
2. Step 2: Convert to fraction form
   72,464/152,788 = 152,788/x
3. Step 3: Cross multiply
   72,464x = 152,788 × 152,788
4. Step 4: Simplify right side
   72,464x = 23,344,172,944
5. Step 5: Solve for x
   x = 23,344,172,944/72,464
6. Step 6: Final answer
   x = 322,148.56