Finding the Third Proportional to 49,784 and 78,868.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,784 : 78,868.50 = 78,868.50 : x
2. Step 2: Convert to fraction form
   49,784/78,868.50 = 78,868.50/x
3. Step 3: Cross multiply
   49,784x = 78,868.50 × 78,868.50
4. Step 4: Simplify right side
   49,784x = 6,220,240,292.25
5. Step 5: Solve for x
   x = 6,220,240,292.25/49,784
6. Step 6: Final answer
   x = 124,944.57