Finding the Third Proportional to 152,619 and 233,466

Step by Step Solution

1. Step 1: Write the proportion equation
   152,619 : 233,466 = 233,466 : x
2. Step 2: Convert to fraction form
   152,619/233,466 = 233,466/x
3. Step 3: Cross multiply
   152,619x = 233,466 × 233,466
4. Step 4: Simplify right side
   152,619x = 54,506,373,156
5. Step 5: Solve for x
   x = 54,506,373,156/152,619
6. Step 6: Final answer
   x = 357,140.15