Finding the Third Proportional to 46,516 and 101,726

Step by Step Solution

1. Step 1: Write the proportion equation
   46,516 : 101,726 = 101,726 : x
2. Step 2: Convert to fraction form
   46,516/101,726 = 101,726/x
3. Step 3: Cross multiply
   46,516x = 101,726 × 101,726
4. Step 4: Simplify right side
   46,516x = 10,348,179,076
5. Step 5: Solve for x
   x = 10,348,179,076/46,516
6. Step 6: Final answer
   x = 222,464.94