Finding the Third Proportional to 89,124 and 191,688

Step by Step Solution

1. Step 1: Write the proportion equation
   89,124 : 191,688 = 191,688 : x
2. Step 2: Convert to fraction form
   89,124/191,688 = 191,688/x
3. Step 3: Cross multiply
   89,124x = 191,688 × 191,688
4. Step 4: Simplify right side
   89,124x = 36,744,289,344
5. Step 5: Solve for x
   x = 36,744,289,344/89,124
6. Step 6: Final answer
   x = 412,282.77