Finding the Third Proportional to 49,359 and 78,413

Step by Step Solution

1. Step 1: Write the proportion equation
   49,359 : 78,413 = 78,413 : x
2. Step 2: Convert to fraction form
   49,359/78,413 = 78,413/x
3. Step 3: Cross multiply
   49,359x = 78,413 × 78,413
4. Step 4: Simplify right side
   49,359x = 6,148,598,569
5. Step 5: Solve for x
   x = 6,148,598,569/49,359
6. Step 6: Final answer
   x = 124,568.95