Finding the Third Proportional to 152,802 and 233,595

Step by Step Solution

1. Step 1: Write the proportion equation
   152,802 : 233,595 = 233,595 : x
2. Step 2: Convert to fraction form
   152,802/233,595 = 233,595/x
3. Step 3: Cross multiply
   152,802x = 233,595 × 233,595
4. Step 4: Simplify right side
   152,802x = 54,566,624,025
5. Step 5: Solve for x
   x = 54,566,624,025/152,802
6. Step 6: Final answer
   x = 357,106.74