Finding the Third Proportional to 105,476 and 158,662

Step by Step Solution

1. Step 1: Write the proportion equation
   105,476 : 158,662 = 158,662 : x
2. Step 2: Convert to fraction form
   105,476/158,662 = 158,662/x
3. Step 3: Cross multiply
   105,476x = 158,662 × 158,662
4. Step 4: Simplify right side
   105,476x = 25,173,630,244
5. Step 5: Solve for x
   x = 25,173,630,244/105,476
6. Step 6: Final answer
   x = 238,666.90