Finding the Third Proportional to 88,461 and 196,686

Step by Step Solution

1. Step 1: Write the proportion equation
   88,461 : 196,686 = 196,686 : x
2. Step 2: Convert to fraction form
   88,461/196,686 = 196,686/x
3. Step 3: Cross multiply
   88,461x = 196,686 × 196,686
4. Step 4: Simplify right side
   88,461x = 38,685,382,596
5. Step 5: Solve for x
   x = 38,685,382,596/88,461
6. Step 6: Final answer
   x = 437,315.68