Finding the Third Proportional to 49,978.50 and 75,111.75

Step by Step Solution

1. Step 1: Write the proportion equation
   49,978.50 : 75,111.75 = 75,111.75 : x
2. Step 2: Convert to fraction form
   49,978.50/75,111.75 = 75,111.75/x
3. Step 3: Cross multiply
   49,978.50x = 75,111.75 × 75,111.75
4. Step 4: Simplify right side
   49,978.50x = 5,641,774,988.06
5. Step 5: Solve for x
   x = 5,641,774,988.06/49,978.50
6. Step 6: Final answer
   x = 112,884.04