Finding the Third Proportional to 152,505 and 233,293

Step by Step Solution

1. Step 1: Write the proportion equation
   152,505 : 233,293 = 233,293 : x
2. Step 2: Convert to fraction form
   152,505/233,293 = 233,293/x
3. Step 3: Cross multiply
   152,505x = 233,293 × 233,293
4. Step 4: Simplify right side
   152,505x = 54,425,623,849
5. Step 5: Solve for x
   x = 54,425,623,849/152,505
6. Step 6: Final answer
   x = 356,877.64