Finding the Third Proportional to 137,538 and 209,116.69

Step by Step Solution

1. Step 1: Write the proportion equation
   137,538 : 209,116.69 = 209,116.69 : x
2. Step 2: Convert to fraction form
   137,538/209,116.69 = 209,116.69/x
3. Step 3: Cross multiply
   137,538x = 209,116.69 × 209,116.69
4. Step 4: Simplify right side
   137,538x = 43,729,788,990.97
5. Step 5: Solve for x
   x = 43,729,788,990.97/137,538
6. Step 6: Final answer
   x = 317,946.96