Finding the Third Proportional to 152,424 and 214,455.50

Step by Step Solution

1. Step 1: Write the proportion equation
   152,424 : 214,455.50 = 214,455.50 : x
2. Step 2: Convert to fraction form
   152,424/214,455.50 = 214,455.50/x
3. Step 3: Cross multiply
   152,424x = 214,455.50 × 214,455.50
4. Step 4: Simplify right side
   152,424x = 45,991,161,480.25
5. Step 5: Solve for x
   x = 45,991,161,480.25/152,424
6. Step 6: Final answer
   x = 301,731.76