Finding the Third Proportional to 137,054 and 186,714

Step by Step Solution

1. Step 1: Write the proportion equation
   137,054 : 186,714 = 186,714 : x
2. Step 2: Convert to fraction form
   137,054/186,714 = 186,714/x
3. Step 3: Cross multiply
   137,054x = 186,714 × 186,714
4. Step 4: Simplify right side
   137,054x = 34,862,117,796
5. Step 5: Solve for x
   x = 34,862,117,796/137,054
6. Step 6: Final answer
   x = 254,367.75