Finding the Third Proportional to 49,021.50 and 77,899.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,021.50 : 77,899.50 = 77,899.50 : x
2. Step 2: Convert to fraction form
   49,021.50/77,899.50 = 77,899.50/x
3. Step 3: Cross multiply
   49,021.50x = 77,899.50 × 77,899.50
4. Step 4: Simplify right side
   49,021.50x = 6,068,332,100.25
5. Step 5: Solve for x
   x = 6,068,332,100.25/49,021.50
6. Step 6: Final answer
   x = 123,789.20