Finding the Third Proportional to 137,666 and 209,118

Step by Step Solution

1. Step 1: Write the proportion equation
   137,666 : 209,118 = 209,118 : x
2. Step 2: Convert to fraction form
   137,666/209,118 = 209,118/x
3. Step 3: Cross multiply
   137,666x = 209,118 × 209,118
4. Step 4: Simplify right side
   137,666x = 43,730,337,924
5. Step 5: Solve for x
   x = 43,730,337,924/137,666
6. Step 6: Final answer
   x = 317,655.32