Finding the Third Proportional to 138,748 and 209,094

Step by Step Solution

1. Step 1: Write the proportion equation
   138,748 : 209,094 = 209,094 : x
2. Step 2: Convert to fraction form
   138,748/209,094 = 209,094/x
3. Step 3: Cross multiply
   138,748x = 209,094 × 209,094
4. Step 4: Simplify right side
   138,748x = 43,720,300,836
5. Step 5: Solve for x
   x = 43,720,300,836/138,748
6. Step 6: Final answer
   x = 315,105.81