Finding the Third Proportional to 74,769 and 111,072.75

Step by Step Solution

1. Step 1: Write the proportion equation
   74,769 : 111,072.75 = 111,072.75 : x
2. Step 2: Convert to fraction form
   74,769/111,072.75 = 111,072.75/x
3. Step 3: Cross multiply
   74,769x = 111,072.75 × 111,072.75
4. Step 4: Simplify right side
   74,769x = 12,337,155,792.56
5. Step 5: Solve for x
   x = 12,337,155,792.56/74,769
6. Step 6: Final answer
   x = 165,003.62