Finding the Third Proportional to 90,998 and 140,385

Step by Step Solution

1. Step 1: Write the proportion equation
   90,998 : 140,385 = 140,385 : x
2. Step 2: Convert to fraction form
   90,998/140,385 = 140,385/x
3. Step 3: Cross multiply
   90,998x = 140,385 × 140,385
4. Step 4: Simplify right side
   90,998x = 19,707,948,225
5. Step 5: Solve for x
   x = 19,707,948,225/90,998
6. Step 6: Final answer
   x = 216,575.62