Finding the Third Proportional to 49,294 and 76,470

Step by Step Solution

1. Step 1: Write the proportion equation
   49,294 : 76,470 = 76,470 : x
2. Step 2: Convert to fraction form
   49,294/76,470 = 76,470/x
3. Step 3: Cross multiply
   49,294x = 76,470 × 76,470
4. Step 4: Simplify right side
   49,294x = 5,847,660,900
5. Step 5: Solve for x
   x = 5,847,660,900/49,294
6. Step 6: Final answer
   x = 118,628.25