Finding the Third Proportional to 74,978 and 116,052

Step by Step Solution

1. Step 1: Write the proportion equation
   74,978 : 116,052 = 116,052 : x
2. Step 2: Convert to fraction form
   74,978/116,052 = 116,052/x
3. Step 3: Cross multiply
   74,978x = 116,052 × 116,052
4. Step 4: Simplify right side
   74,978x = 13,468,066,704
5. Step 5: Solve for x
   x = 13,468,066,704/74,978
6. Step 6: Final answer
   x = 179,626.91