Finding the Third Proportional to 152,952 and 233,316

Step by Step Solution

1. Step 1: Write the proportion equation
   152,952 : 233,316 = 233,316 : x
2. Step 2: Convert to fraction form
   152,952/233,316 = 233,316/x
3. Step 3: Cross multiply
   152,952x = 233,316 × 233,316
4. Step 4: Simplify right side
   152,952x = 54,436,355,856
5. Step 5: Solve for x
   x = 54,436,355,856/152,952
6. Step 6: Final answer
   x = 355,904.83