Finding the Third Proportional to 152,421 and 214,452.50

Step by Step Solution

1. Step 1: Write the proportion equation
   152,421 : 214,452.50 = 214,452.50 : x
2. Step 2: Convert to fraction form
   152,421/214,452.50 = 214,452.50/x
3. Step 3: Cross multiply
   152,421x = 214,452.50 × 214,452.50
4. Step 4: Simplify right side
   152,421x = 45,989,874,756.25
5. Step 5: Solve for x
   x = 45,989,874,756.25/152,421
6. Step 6: Final answer
   x = 301,729.25