Finding the Third Proportional to 105,429 and 154,416

Step by Step Solution

1. Step 1: Write the proportion equation
   105,429 : 154,416 = 154,416 : x
2. Step 2: Convert to fraction form
   105,429/154,416 = 154,416/x
3. Step 3: Cross multiply
   105,429x = 154,416 × 154,416
4. Step 4: Simplify right side
   105,429x = 23,844,301,056
5. Step 5: Solve for x
   x = 23,844,301,056/105,429
6. Step 6: Final answer
   x = 226,164.54