Finding the Third Proportional to 101,838 and 154,398

Step by Step Solution

1. Step 1: Write the proportion equation
   101,838 : 154,398 = 154,398 : x
2. Step 2: Convert to fraction form
   101,838/154,398 = 154,398/x
3. Step 3: Cross multiply
   101,838x = 154,398 × 154,398
4. Step 4: Simplify right side
   101,838x = 23,838,742,404
5. Step 5: Solve for x
   x = 23,838,742,404/101,838
6. Step 6: Final answer
   x = 234,084.94