Finding the Third Proportional to 88,224 and 208,234.25

Step by Step Solution

1. Step 1: Write the proportion equation
   88,224 : 208,234.25 = 208,234.25 : x
2. Step 2: Convert to fraction form
   88,224/208,234.25 = 208,234.25/x
3. Step 3: Cross multiply
   88,224x = 208,234.25 × 208,234.25
4. Step 4: Simplify right side
   88,224x = 43,361,502,873.06
5. Step 5: Solve for x
   x = 43,361,502,873.06/88,224
6. Step 6: Final answer
   x = 491,493.28