Finding the Third Proportional to 138,055.50 and 205,139.25

Step by Step Solution

1. Step 1: Write the proportion equation
   138,055.50 : 205,139.25 = 205,139.25 : x
2. Step 2: Convert to fraction form
   138,055.50/205,139.25 = 205,139.25/x
3. Step 3: Cross multiply
   138,055.50x = 205,139.25 × 205,139.25
4. Step 4: Simplify right side
   138,055.50x = 42,082,111,890.56
5. Step 5: Solve for x
   x = 42,082,111,890.56/138,055.50
6. Step 6: Final answer
   x = 304,820.25