Finding the Third Proportional to 50,396 and 109,624

Step by Step Solution

1. Step 1: Write the proportion equation
   50,396 : 109,624 = 109,624 : x
2. Step 2: Convert to fraction form
   50,396/109,624 = 109,624/x
3. Step 3: Cross multiply
   50,396x = 109,624 × 109,624
4. Step 4: Simplify right side
   50,396x = 12,017,421,376
5. Step 5: Solve for x
   x = 12,017,421,376/50,396
6. Step 6: Final answer
   x = 238,459.83