Finding the Third Proportional to 147,228 and 233,506

Step by Step Solution

1. Step 1: Write the proportion equation
   147,228 : 233,506 = 233,506 : x
2. Step 2: Convert to fraction form
   147,228/233,506 = 233,506/x
3. Step 3: Cross multiply
   147,228x = 233,506 × 233,506
4. Step 4: Simplify right side
   147,228x = 54,525,052,036
5. Step 5: Solve for x
   x = 54,525,052,036/147,228
6. Step 6: Final answer
   x = 370,344.31