Finding the Third Proportional to 138,078 and 202,585.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,078 : 202,585.50 = 202,585.50 : x
2. Step 2: Convert to fraction form
   138,078/202,585.50 = 202,585.50/x
3. Step 3: Cross multiply
   138,078x = 202,585.50 × 202,585.50
4. Step 4: Simplify right side
   138,078x = 41,040,884,810.25
5. Step 5: Solve for x
   x = 41,040,884,810.25/138,078
6. Step 6: Final answer
   x = 297,229.72