Finding the Third Proportional to 133,033 and 146,155

Step by Step Solution

1. Step 1: Write the proportion equation
   133,033 : 146,155 = 146,155 : x
2. Step 2: Convert to fraction form
   133,033/146,155 = 146,155/x
3. Step 3: Cross multiply
   133,033x = 146,155 × 146,155
4. Step 4: Simplify right side
   133,033x = 21,361,284,025
5. Step 5: Solve for x
   x = 21,361,284,025/133,033
6. Step 6: Final answer
   x = 160,571.32