Finding the Third Proportional to 162,822 and 233,296

Step by Step Solution

1. Step 1: Write the proportion equation
   162,822 : 233,296 = 233,296 : x
2. Step 2: Convert to fraction form
   162,822/233,296 = 233,296/x
3. Step 3: Cross multiply
   162,822x = 233,296 × 233,296
4. Step 4: Simplify right side
   162,822x = 54,427,023,616
5. Step 5: Solve for x
   x = 54,427,023,616/162,822
6. Step 6: Final answer
   x = 334,273.15