Finding the Third Proportional to 89,712 and 195,184

Step by Step Solution

1. Step 1: Write the proportion equation
   89,712 : 195,184 = 195,184 : x
2. Step 2: Convert to fraction form
   89,712/195,184 = 195,184/x
3. Step 3: Cross multiply
   89,712x = 195,184 × 195,184
4. Step 4: Simplify right side
   89,712x = 38,096,793,856
5. Step 5: Solve for x
   x = 38,096,793,856/89,712
6. Step 6: Final answer
   x = 424,656.61