Finding the Third Proportional to 139,099.50 and 209,301.75

Step by Step Solution

1. Step 1: Write the proportion equation
   139,099.50 : 209,301.75 = 209,301.75 : x
2. Step 2: Convert to fraction form
   139,099.50/209,301.75 = 209,301.75/x
3. Step 3: Cross multiply
   139,099.50x = 209,301.75 × 209,301.75
4. Step 4: Simplify right side
   139,099.50x = 43,807,222,553.06
5. Step 5: Solve for x
   x = 43,807,222,553.06/139,099.50
6. Step 6: Final answer
   x = 314,934.44