Finding the Third Proportional to 88,257 and 208,171.50

Step by Step Solution

1. Step 1: Write the proportion equation
   88,257 : 208,171.50 = 208,171.50 : x
2. Step 2: Convert to fraction form
   88,257/208,171.50 = 208,171.50/x
3. Step 3: Cross multiply
   88,257x = 208,171.50 × 208,171.50
4. Step 4: Simplify right side
   88,257x = 43,335,373,412.25
5. Step 5: Solve for x
   x = 43,335,373,412.25/88,257
6. Step 6: Final answer
   x = 491,013.44