Finding the Third Proportional to 49,772 and 78,810

Step by Step Solution

1. Step 1: Write the proportion equation
   49,772 : 78,810 = 78,810 : x
2. Step 2: Convert to fraction form
   49,772/78,810 = 78,810/x
3. Step 3: Cross multiply
   49,772x = 78,810 × 78,810
4. Step 4: Simplify right side
   49,772x = 6,211,016,100
5. Step 5: Solve for x
   x = 6,211,016,100/49,772
6. Step 6: Final answer
   x = 124,789.36