Finding the Third Proportional to 138,178.50 and 286,743

Step by Step Solution

1. Step 1: Write the proportion equation
   138,178.50 : 286,743 = 286,743 : x
2. Step 2: Convert to fraction form
   138,178.50/286,743 = 286,743/x
3. Step 3: Cross multiply
   138,178.50x = 286,743 × 286,743
4. Step 4: Simplify right side
   138,178.50x = 82,221,548,049
5. Step 5: Solve for x
   x = 82,221,548,049/138,178.50
6. Step 6: Final answer
   x = 595,038.65