Finding the Third Proportional to 109,506 and 158,244

Step by Step Solution

1. Step 1: Write the proportion equation
   109,506 : 158,244 = 158,244 : x
2. Step 2: Convert to fraction form
   109,506/158,244 = 158,244/x
3. Step 3: Cross multiply
   109,506x = 158,244 × 158,244
4. Step 4: Simplify right side
   109,506x = 25,041,163,536
5. Step 5: Solve for x
   x = 25,041,163,536/109,506
6. Step 6: Final answer
   x = 228,673.89