Finding the Third Proportional to 108,822 and 159,506

Step by Step Solution

1. Step 1: Write the proportion equation
   108,822 : 159,506 = 159,506 : x
2. Step 2: Convert to fraction form
   108,822/159,506 = 159,506/x
3. Step 3: Cross multiply
   108,822x = 159,506 × 159,506
4. Step 4: Simplify right side
   108,822x = 25,442,164,036
5. Step 5: Solve for x
   x = 25,442,164,036/108,822
6. Step 6: Final answer
   x = 233,796.14