Finding the Third Proportional to 89,484 and 194,950

Step by Step Solution

1. Step 1: Write the proportion equation
   89,484 : 194,950 = 194,950 : x
2. Step 2: Convert to fraction form
   89,484/194,950 = 194,950/x
3. Step 3: Cross multiply
   89,484x = 194,950 × 194,950
4. Step 4: Simplify right side
   89,484x = 38,005,502,500
5. Step 5: Solve for x
   x = 38,005,502,500/89,484
6. Step 6: Final answer
   x = 424,718.41