Finding the Third Proportional to 152,421 and 214,452.38

Step by Step Solution

1. Step 1: Write the proportion equation
   152,421 : 214,452.38 = 214,452.38 : x
2. Step 2: Convert to fraction form
   152,421/214,452.38 = 214,452.38/x
3. Step 3: Cross multiply
   152,421x = 214,452.38 × 214,452.38
4. Step 4: Simplify right side
   152,421x = 45,989,821,143.14
5. Step 5: Solve for x
   x = 45,989,821,143.14/152,421
6. Step 6: Final answer
   x = 301,728.90