Finding the Third Proportional to 49,693.50 and 107,802

Step by Step Solution

1. Step 1: Write the proportion equation
   49,693.50 : 107,802 = 107,802 : x
2. Step 2: Convert to fraction form
   49,693.50/107,802 = 107,802/x
3. Step 3: Cross multiply
   49,693.50x = 107,802 × 107,802
4. Step 4: Simplify right side
   49,693.50x = 11,621,271,204
5. Step 5: Solve for x
   x = 11,621,271,204/49,693.50
6. Step 6: Final answer
   x = 233,858.98