Finding the Third Proportional to 146,656 and 233,112

Step by Step Solution

1. Step 1: Write the proportion equation
   146,656 : 233,112 = 233,112 : x
2. Step 2: Convert to fraction form
   146,656/233,112 = 233,112/x
3. Step 3: Cross multiply
   146,656x = 233,112 × 233,112
4. Step 4: Simplify right side
   146,656x = 54,341,204,544
5. Step 5: Solve for x
   x = 54,341,204,544/146,656
6. Step 6: Final answer
   x = 370,535.16