Finding the Third Proportional to 108,840 and 159,534

Step by Step Solution

1. Step 1: Write the proportion equation
   108,840 : 159,534 = 159,534 : x
2. Step 2: Convert to fraction form
   108,840/159,534 = 159,534/x
3. Step 3: Cross multiply
   108,840x = 159,534 × 159,534
4. Step 4: Simplify right side
   108,840x = 25,451,097,156
5. Step 5: Solve for x
   x = 25,451,097,156/108,840
6. Step 6: Final answer
   x = 233,839.55