Finding the Third Proportional to 138,198 and 209,362.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,198 : 209,362.50 = 209,362.50 : x
2. Step 2: Convert to fraction form
   138,198/209,362.50 = 209,362.50/x
3. Step 3: Cross multiply
   138,198x = 209,362.50 × 209,362.50
4. Step 4: Simplify right side
   138,198x = 43,832,656,406.25
5. Step 5: Solve for x
   x = 43,832,656,406.25/138,198
6. Step 6: Final answer
   x = 317,172.87