Finding the Third Proportional to 49,200 and 76,392

Step by Step Solution

1. Step 1: Write the proportion equation
   49,200 : 76,392 = 76,392 : x
2. Step 2: Convert to fraction form
   49,200/76,392 = 76,392/x
3. Step 3: Cross multiply
   49,200x = 76,392 × 76,392
4. Step 4: Simplify right side
   49,200x = 5,835,737,664
5. Step 5: Solve for x
   x = 5,835,737,664/49,200
6. Step 6: Final answer
   x = 118,612.55