Finding the Third Proportional to 147,180 and 233,155

Step by Step Solution

1. Step 1: Write the proportion equation
   147,180 : 233,155 = 233,155 : x
2. Step 2: Convert to fraction form
   147,180/233,155 = 233,155/x
3. Step 3: Cross multiply
   147,180x = 233,155 × 233,155
4. Step 4: Simplify right side
   147,180x = 54,361,254,025
5. Step 5: Solve for x
   x = 54,361,254,025/147,180
6. Step 6: Final answer
   x = 369,352.18