Finding the Third Proportional to 88,636 and 208,558

Step by Step Solution

1. Step 1: Write the proportion equation
   88,636 : 208,558 = 208,558 : x
2. Step 2: Convert to fraction form
   88,636/208,558 = 208,558/x
3. Step 3: Cross multiply
   88,636x = 208,558 × 208,558
4. Step 4: Simplify right side
   88,636x = 43,496,439,364
5. Step 5: Solve for x
   x = 43,496,439,364/88,636
6. Step 6: Final answer
   x = 490,731.07