Finding the Third Proportional to 152,443 and 226,454

Step by Step Solution

1. Step 1: Write the proportion equation
   152,443 : 226,454 = 226,454 : x
2. Step 2: Convert to fraction form
   152,443/226,454 = 226,454/x
3. Step 3: Cross multiply
   152,443x = 226,454 × 226,454
4. Step 4: Simplify right side
   152,443x = 51,281,414,116
5. Step 5: Solve for x
   x = 51,281,414,116/152,443
6. Step 6: Final answer
   x = 336,397.30