Finding the Third Proportional to 137,117.50 and 209,321.50

Step by Step Solution

1. Step 1: Write the proportion equation
   137,117.50 : 209,321.50 = 209,321.50 : x
2. Step 2: Convert to fraction form
   137,117.50/209,321.50 = 209,321.50/x
3. Step 3: Cross multiply
   137,117.50x = 209,321.50 × 209,321.50
4. Step 4: Simplify right side
   137,117.50x = 43,815,490,362.25
5. Step 5: Solve for x
   x = 43,815,490,362.25/137,117.50
6. Step 6: Final answer
   x = 319,547.03