Finding the Third Proportional to 49,889.50 and 78,983.75

Step by Step Solution

1. Step 1: Write the proportion equation
   49,889.50 : 78,983.75 = 78,983.75 : x
2. Step 2: Convert to fraction form
   49,889.50/78,983.75 = 78,983.75/x
3. Step 3: Cross multiply
   49,889.50x = 78,983.75 × 78,983.75
4. Step 4: Simplify right side
   49,889.50x = 6,238,432,764.06
5. Step 5: Solve for x
   x = 6,238,432,764.06/49,889.50
6. Step 6: Final answer
   x = 125,045.00