Finding the Third Proportional to 99,478 and 140,624

Step by Step Solution

1. Step 1: Write the proportion equation
   99,478 : 140,624 = 140,624 : x
2. Step 2: Convert to fraction form
   99,478/140,624 = 140,624/x
3. Step 3: Cross multiply
   99,478x = 140,624 × 140,624
4. Step 4: Simplify right side
   99,478x = 19,775,109,376
5. Step 5: Solve for x
   x = 19,775,109,376/99,478
6. Step 6: Final answer
   x = 198,788.77