Finding the Third Proportional to 105,384 and 158,080

Step by Step Solution

1. Step 1: Write the proportion equation
   105,384 : 158,080 = 158,080 : x
2. Step 2: Convert to fraction form
   105,384/158,080 = 158,080/x
3. Step 3: Cross multiply
   105,384x = 158,080 × 158,080
4. Step 4: Simplify right side
   105,384x = 24,989,286,400
5. Step 5: Solve for x
   x = 24,989,286,400/105,384
6. Step 6: Final answer
   x = 237,126.00