Finding the Third Proportional to 90,681 and 198,870

Step by Step Solution

1. Step 1: Write the proportion equation
   90,681 : 198,870 = 198,870 : x
2. Step 2: Convert to fraction form
   90,681/198,870 = 198,870/x
3. Step 3: Cross multiply
   90,681x = 198,870 × 198,870
4. Step 4: Simplify right side
   90,681x = 39,549,276,900
5. Step 5: Solve for x
   x = 39,549,276,900/90,681
6. Step 6: Final answer
   x = 436,136.31