Finding the Third Proportional to 49,753.50 and 105,123.75

Step by Step Solution

1. Step 1: Write the proportion equation
   49,753.50 : 105,123.75 = 105,123.75 : x
2. Step 2: Convert to fraction form
   49,753.50/105,123.75 = 105,123.75/x
3. Step 3: Cross multiply
   49,753.50x = 105,123.75 × 105,123.75
4. Step 4: Simplify right side
   49,753.50x = 11,051,002,814.06
5. Step 5: Solve for x
   x = 11,051,002,814.06/49,753.50
6. Step 6: Final answer
   x = 222,115.08