Finding the Third Proportional to 138,016 and 209,094

Step by Step Solution

1. Step 1: Write the proportion equation
   138,016 : 209,094 = 209,094 : x
2. Step 2: Convert to fraction form
   138,016/209,094 = 209,094/x
3. Step 3: Cross multiply
   138,016x = 209,094 × 209,094
4. Step 4: Simplify right side
   138,016x = 43,720,300,836
5. Step 5: Solve for x
   x = 43,720,300,836/138,016
6. Step 6: Final answer
   x = 316,777.05