Finding the Third Proportional to 152,507 and 233,296

Step by Step Solution

1. Step 1: Write the proportion equation
   152,507 : 233,296 = 233,296 : x
2. Step 2: Convert to fraction form
   152,507/233,296 = 233,296/x
3. Step 3: Cross multiply
   152,507x = 233,296 × 233,296
4. Step 4: Simplify right side
   152,507x = 54,427,023,616
5. Step 5: Solve for x
   x = 54,427,023,616/152,507
6. Step 6: Final answer
   x = 356,882.13