Finding the Third Proportional to 113,677 and 168,298

Step by Step Solution

1. Step 1: Write the proportion equation
   113,677 : 168,298 = 168,298 : x
2. Step 2: Convert to fraction form
   113,677/168,298 = 168,298/x
3. Step 3: Cross multiply
   113,677x = 168,298 × 168,298
4. Step 4: Simplify right side
   113,677x = 28,324,216,804
5. Step 5: Solve for x
   x = 28,324,216,804/113,677
6. Step 6: Final answer
   x = 249,164.01