Finding the Third Proportional to 64,123 and 137,714

Step by Step Solution

1. Step 1: Write the proportion equation
   64,123 : 137,714 = 137,714 : x
2. Step 2: Convert to fraction form
   64,123/137,714 = 137,714/x
3. Step 3: Cross multiply
   64,123x = 137,714 × 137,714
4. Step 4: Simplify right side
   64,123x = 18,965,145,796
5. Step 5: Solve for x
   x = 18,965,145,796/64,123
6. Step 6: Final answer
   x = 295,761.99