Finding the Third Proportional to 152,252 and 337,144

Step by Step Solution

1. Step 1: Write the proportion equation
   152,252 : 337,144 = 337,144 : x
2. Step 2: Convert to fraction form
   152,252/337,144 = 337,144/x
3. Step 3: Cross multiply
   152,252x = 337,144 × 337,144
4. Step 4: Simplify right side
   152,252x = 113,666,076,736
5. Step 5: Solve for x
   x = 113,666,076,736/152,252
6. Step 6: Final answer
   x = 746,565.41