Finding the Third Proportional to 89,984 and 193,792

Step by Step Solution

1. Step 1: Write the proportion equation
   89,984 : 193,792 = 193,792 : x
2. Step 2: Convert to fraction form
   89,984/193,792 = 193,792/x
3. Step 3: Cross multiply
   89,984x = 193,792 × 193,792
4. Step 4: Simplify right side
   89,984x = 37,555,339,264
5. Step 5: Solve for x
   x = 37,555,339,264/89,984
6. Step 6: Final answer
   x = 417,355.74