Finding the Third Proportional to 49,624 and 108,156

Step by Step Solution

1. Step 1: Write the proportion equation
   49,624 : 108,156 = 108,156 : x
2. Step 2: Convert to fraction form
   49,624/108,156 = 108,156/x
3. Step 3: Cross multiply
   49,624x = 108,156 × 108,156
4. Step 4: Simplify right side
   49,624x = 11,697,720,336
5. Step 5: Solve for x
   x = 11,697,720,336/49,624
6. Step 6: Final answer
   x = 235,727.07