Finding the Third Proportional to 148,180 and 229,506

Step by Step Solution

1. Step 1: Write the proportion equation
   148,180 : 229,506 = 229,506 : x
2. Step 2: Convert to fraction form
   148,180/229,506 = 229,506/x
3. Step 3: Cross multiply
   148,180x = 229,506 × 229,506
4. Step 4: Simplify right side
   148,180x = 52,673,004,036
5. Step 5: Solve for x
   x = 52,673,004,036/148,180
6. Step 6: Final answer
   x = 355,466.35