Finding the Third Proportional to 152,644 and 224,392

Step by Step Solution

1. Step 1: Write the proportion equation
   152,644 : 224,392 = 224,392 : x
2. Step 2: Convert to fraction form
   152,644/224,392 = 224,392/x
3. Step 3: Cross multiply
   152,644x = 224,392 × 224,392
4. Step 4: Simplify right side
   152,644x = 50,351,769,664
5. Step 5: Solve for x
   x = 50,351,769,664/152,644
6. Step 6: Final answer
   x = 329,864.06