Finding the Third Proportional to 75,801 and 105,123.75

Step by Step Solution

1. Step 1: Write the proportion equation
   75,801 : 105,123.75 = 105,123.75 : x
2. Step 2: Convert to fraction form
   75,801/105,123.75 = 105,123.75/x
3. Step 3: Cross multiply
   75,801x = 105,123.75 × 105,123.75
4. Step 4: Simplify right side
   75,801x = 11,051,002,814.06
5. Step 5: Solve for x
   x = 11,051,002,814.06/75,801
6. Step 6: Final answer
   x = 145,789.67