Finding the Third Proportional to 137,079 and 209,506.50

Step by Step Solution

1. Step 1: Write the proportion equation
   137,079 : 209,506.50 = 209,506.50 : x
2. Step 2: Convert to fraction form
   137,079/209,506.50 = 209,506.50/x
3. Step 3: Cross multiply
   137,079x = 209,506.50 × 209,506.50
4. Step 4: Simplify right side
   137,079x = 43,892,973,542.25
5. Step 5: Solve for x
   x = 43,892,973,542.25/137,079
6. Step 6: Final answer
   x = 320,202.03