Finding the Third Proportional to 88,632 and 208,548

Step by Step Solution

1. Step 1: Write the proportion equation
   88,632 : 208,548 = 208,548 : x
2. Step 2: Convert to fraction form
   88,632/208,548 = 208,548/x
3. Step 3: Cross multiply
   88,632x = 208,548 × 208,548
4. Step 4: Simplify right side
   88,632x = 43,492,268,304
5. Step 5: Solve for x
   x = 43,492,268,304/88,632
6. Step 6: Final answer
   x = 490,706.16