Finding the Third Proportional to 49,074 and 77,833.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,074 : 77,833.50 = 77,833.50 : x
2. Step 2: Convert to fraction form
   49,074/77,833.50 = 77,833.50/x
3. Step 3: Cross multiply
   49,074x = 77,833.50 × 77,833.50
4. Step 4: Simplify right side
   49,074x = 6,058,053,722.25
5. Step 5: Solve for x
   x = 6,058,053,722.25/49,074
6. Step 6: Final answer
   x = 123,447.32