Finding the Third Proportional to 152,425 and 214,458.50

Step by Step Solution

1. Step 1: Write the proportion equation
   152,425 : 214,458.50 = 214,458.50 : x
2. Step 2: Convert to fraction form
   152,425/214,458.50 = 214,458.50/x
3. Step 3: Cross multiply
   152,425x = 214,458.50 × 214,458.50
4. Step 4: Simplify right side
   152,425x = 45,992,448,222.25
5. Step 5: Solve for x
   x = 45,992,448,222.25/152,425
6. Step 6: Final answer
   x = 301,738.22