Finding the Third Proportional to 49,320 and 76,284

Step by Step Solution

1. Step 1: Write the proportion equation
   49,320 : 76,284 = 76,284 : x
2. Step 2: Convert to fraction form
   49,320/76,284 = 76,284/x
3. Step 3: Cross multiply
   49,320x = 76,284 × 76,284
4. Step 4: Simplify right side
   49,320x = 5,819,248,656
5. Step 5: Solve for x
   x = 5,819,248,656/49,320
6. Step 6: Final answer
   x = 117,989.63