Finding the Third Proportional to 152,238 and 344,327

Step by Step Solution

1. Step 1: Write the proportion equation
   152,238 : 344,327 = 344,327 : x
2. Step 2: Convert to fraction form
   152,238/344,327 = 344,327/x
3. Step 3: Cross multiply
   152,238x = 344,327 × 344,327
4. Step 4: Simplify right side
   152,238x = 118,561,082,929
5. Step 5: Solve for x
   x = 118,561,082,929/152,238
6. Step 6: Final answer
   x = 778,787.71