Finding the Third Proportional to 49,891.75 and 107,164.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,891.75 : 107,164.50 = 107,164.50 : x
2. Step 2: Convert to fraction form
   49,891.75/107,164.50 = 107,164.50/x
3. Step 3: Cross multiply
   49,891.75x = 107,164.50 × 107,164.50
4. Step 4: Simplify right side
   49,891.75x = 11,484,230,060.25
5. Step 5: Solve for x
   x = 11,484,230,060.25/49,891.75
6. Step 6: Final answer
   x = 230,182.95