Finding the Third Proportional to 89,487 and 192,688

Step by Step Solution

1. Step 1: Write the proportion equation
   89,487 : 192,688 = 192,688 : x
2. Step 2: Convert to fraction form
   89,487/192,688 = 192,688/x
3. Step 3: Cross multiply
   89,487x = 192,688 × 192,688
4. Step 4: Simplify right side
   89,487x = 37,128,665,344
5. Step 5: Solve for x
   x = 37,128,665,344/89,487
6. Step 6: Final answer
   x = 414,905.69