Finding the Third Proportional to 105,714 and 154,602

Step by Step Solution

1. Step 1: Write the proportion equation
   105,714 : 154,602 = 154,602 : x
2. Step 2: Convert to fraction form
   105,714/154,602 = 154,602/x
3. Step 3: Cross multiply
   105,714x = 154,602 × 154,602
4. Step 4: Simplify right side
   105,714x = 23,901,778,404
5. Step 5: Solve for x
   x = 23,901,778,404/105,714
6. Step 6: Final answer
   x = 226,098.51