Finding the Third Proportional to 49,999.50 and 102,825

Step by Step Solution

1. Step 1: Write the proportion equation
   49,999.50 : 102,825 = 102,825 : x
2. Step 2: Convert to fraction form
   49,999.50/102,825 = 102,825/x
3. Step 3: Cross multiply
   49,999.50x = 102,825 × 102,825
4. Step 4: Simplify right side
   49,999.50x = 10,572,980,625
5. Step 5: Solve for x
   x = 10,572,980,625/49,999.50
6. Step 6: Final answer
   x = 211,461.73