Finding the Third Proportional to 75,667.50 and 106,046.06

Step by Step Solution

1. Step 1: Write the proportion equation
   75,667.50 : 106,046.06 = 106,046.06 : x
2. Step 2: Convert to fraction form
   75,667.50/106,046.06 = 106,046.06/x
3. Step 3: Cross multiply
   75,667.50x = 106,046.06 × 106,046.06
4. Step 4: Simplify right side
   75,667.50x = 11,245,767,371.75
5. Step 5: Solve for x
   x = 11,245,767,371.75/75,667.50
6. Step 6: Final answer
   x = 148,620.84