Finding the Third Proportional to 49,456 and 77,200

Step by Step Solution

1. Step 1: Write the proportion equation
   49,456 : 77,200 = 77,200 : x
2. Step 2: Convert to fraction form
   49,456/77,200 = 77,200/x
3. Step 3: Cross multiply
   49,456x = 77,200 × 77,200
4. Step 4: Simplify right side
   49,456x = 5,959,840,000
5. Step 5: Solve for x
   x = 5,959,840,000/49,456
6. Step 6: Final answer
   x = 120,507.93