Finding the Third Proportional to 89,888 and 195,624

Step by Step Solution

1. Step 1: Write the proportion equation
   89,888 : 195,624 = 195,624 : x
2. Step 2: Convert to fraction form
   89,888/195,624 = 195,624/x
3. Step 3: Cross multiply
   89,888x = 195,624 × 195,624
4. Step 4: Simplify right side
   89,888x = 38,268,749,376
5. Step 5: Solve for x
   x = 38,268,749,376/89,888
6. Step 6: Final answer
   x = 425,738.13