Finding the Third Proportional to 45,796 and 98,792

Step by Step Solution

1. Step 1: Write the proportion equation
   45,796 : 98,792 = 98,792 : x
2. Step 2: Convert to fraction form
   45,796/98,792 = 98,792/x
3. Step 3: Cross multiply
   45,796x = 98,792 × 98,792
4. Step 4: Simplify right side
   45,796x = 9,759,859,264
5. Step 5: Solve for x
   x = 9,759,859,264/45,796
6. Step 6: Final answer
   x = 213,115.98