Finding the Third Proportional to 49,385 and 107,200

Step by Step Solution

1. Step 1: Write the proportion equation
   49,385 : 107,200 = 107,200 : x
2. Step 2: Convert to fraction form
   49,385/107,200 = 107,200/x
3. Step 3: Cross multiply
   49,385x = 107,200 × 107,200
4. Step 4: Simplify right side
   49,385x = 11,491,840,000
5. Step 5: Solve for x
   x = 11,491,840,000/49,385
6. Step 6: Final answer
   x = 232,699.00