Finding the Third Proportional to 59,478 and 138,789

Step by Step Solution

1. Step 1: Write the proportion equation
   59,478 : 138,789 = 138,789 : x
2. Step 2: Convert to fraction form
   59,478/138,789 = 138,789/x
3. Step 3: Cross multiply
   59,478x = 138,789 × 138,789
4. Step 4: Simplify right side
   59,478x = 19,262,386,521
5. Step 5: Solve for x
   x = 19,262,386,521/59,478
6. Step 6: Final answer
   x = 323,857.33