Finding the Third Proportional to 109,138 and 168,210

Step by Step Solution

1. Step 1: Write the proportion equation
   109,138 : 168,210 = 168,210 : x
2. Step 2: Convert to fraction form
   109,138/168,210 = 168,210/x
3. Step 3: Cross multiply
   109,138x = 168,210 × 168,210
4. Step 4: Simplify right side
   109,138x = 28,294,604,100
5. Step 5: Solve for x
   x = 28,294,604,100/109,138
6. Step 6: Final answer
   x = 259,255.29