Finding the Third Proportional to 49,414 and 76,434

Step by Step Solution

1. Step 1: Write the proportion equation
   49,414 : 76,434 = 76,434 : x
2. Step 2: Convert to fraction form
   49,414/76,434 = 76,434/x
3. Step 3: Cross multiply
   49,414x = 76,434 × 76,434
4. Step 4: Simplify right side
   49,414x = 5,842,156,356
5. Step 5: Solve for x
   x = 5,842,156,356/49,414
6. Step 6: Final answer
   x = 118,228.77