Finding the Third Proportional to 152,903 and 233,747

Step by Step Solution

1. Step 1: Write the proportion equation
   152,903 : 233,747 = 233,747 : x
2. Step 2: Convert to fraction form
   152,903/233,747 = 233,747/x
3. Step 3: Cross multiply
   152,903x = 233,747 × 233,747
4. Step 4: Simplify right side
   152,903x = 54,637,660,009
5. Step 5: Solve for x
   x = 54,637,660,009/152,903
6. Step 6: Final answer
   x = 357,335.43