Finding the Third Proportional to 49,234 and 76,380

Step by Step Solution

1. Step 1: Write the proportion equation
   49,234 : 76,380 = 76,380 : x
2. Step 2: Convert to fraction form
   49,234/76,380 = 76,380/x
3. Step 3: Cross multiply
   49,234x = 76,380 × 76,380
4. Step 4: Simplify right side
   49,234x = 5,833,904,400
5. Step 5: Solve for x
   x = 5,833,904,400/49,234
6. Step 6: Final answer
   x = 118,493.41