Finding the Third Proportional to 45,792 and 98,784

Step by Step Solution

1. Step 1: Write the proportion equation
   45,792 : 98,784 = 98,784 : x
2. Step 2: Convert to fraction form
   45,792/98,784 = 98,784/x
3. Step 3: Cross multiply
   45,792x = 98,784 × 98,784
4. Step 4: Simplify right side
   45,792x = 9,758,278,656
5. Step 5: Solve for x
   x = 9,758,278,656/45,792
6. Step 6: Final answer
   x = 213,100.08