Finding the Third Proportional to 147,216 and 233,496

Step by Step Solution

1. Step 1: Write the proportion equation
   147,216 : 233,496 = 233,496 : x
2. Step 2: Convert to fraction form
   147,216/233,496 = 233,496/x
3. Step 3: Cross multiply
   147,216x = 233,496 × 233,496
4. Step 4: Simplify right side
   147,216x = 54,520,382,016
5. Step 5: Solve for x
   x = 54,520,382,016/147,216
6. Step 6: Final answer
   x = 370,342.78