Finding the Third Proportional to 89,758 and 196,924

Step by Step Solution

1. Step 1: Write the proportion equation
   89,758 : 196,924 = 196,924 : x
2. Step 2: Convert to fraction form
   89,758/196,924 = 196,924/x
3. Step 3: Cross multiply
   89,758x = 196,924 × 196,924
4. Step 4: Simplify right side
   89,758x = 38,779,061,776
5. Step 5: Solve for x
   x = 38,779,061,776/89,758
6. Step 6: Final answer
   x = 432,040.17