Finding the Third Proportional to 105,394 and 154,146

Step by Step Solution

1. Step 1: Write the proportion equation
   105,394 : 154,146 = 154,146 : x
2. Step 2: Convert to fraction form
   105,394/154,146 = 154,146/x
3. Step 3: Cross multiply
   105,394x = 154,146 × 154,146
4. Step 4: Simplify right side
   105,394x = 23,760,989,316
5. Step 5: Solve for x
   x = 23,760,989,316/105,394
6. Step 6: Final answer
   x = 225,449.17