Finding the Third Proportional to 88,269 and 208,194.50

Step by Step Solution

1. Step 1: Write the proportion equation
   88,269 : 208,194.50 = 208,194.50 : x
2. Step 2: Convert to fraction form
   88,269/208,194.50 = 208,194.50/x
3. Step 3: Cross multiply
   88,269x = 208,194.50 × 208,194.50
4. Step 4: Simplify right side
   88,269x = 43,344,949,830.25
5. Step 5: Solve for x
   x = 43,344,949,830.25/88,269
6. Step 6: Final answer
   x = 491,055.18