Finding the Third Proportional to 105,427 and 154,186

Step by Step Solution

1. Step 1: Write the proportion equation
   105,427 : 154,186 = 154,186 : x
2. Step 2: Convert to fraction form
   105,427/154,186 = 154,186/x
3. Step 3: Cross multiply
   105,427x = 154,186 × 154,186
4. Step 4: Simplify right side
   105,427x = 23,773,322,596
5. Step 5: Solve for x
   x = 23,773,322,596/105,427
6. Step 6: Final answer
   x = 225,495.58