Finding the Third Proportional to 138,019.50 and 185,467.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,019.50 : 185,467.50 = 185,467.50 : x
2. Step 2: Convert to fraction form
   138,019.50/185,467.50 = 185,467.50/x
3. Step 3: Cross multiply
   138,019.50x = 185,467.50 × 185,467.50
4. Step 4: Simplify right side
   138,019.50x = 34,398,193,556.25
5. Step 5: Solve for x
   x = 34,398,193,556.25/138,019.50
6. Step 6: Final answer
   x = 249,227.06