Finding the Third Proportional to 49,814 and 107,500

Step by Step Solution

1. Step 1: Write the proportion equation
   49,814 : 107,500 = 107,500 : x
2. Step 2: Convert to fraction form
   49,814/107,500 = 107,500/x
3. Step 3: Cross multiply
   49,814x = 107,500 × 107,500
4. Step 4: Simplify right side
   49,814x = 11,556,250,000
5. Step 5: Solve for x
   x = 11,556,250,000/49,814
6. Step 6: Final answer
   x = 231,988.00