Finding the Third Proportional to 123,900 and 263,784

Step by Step Solution

1. Step 1: Write the proportion equation
   123,900 : 263,784 = 263,784 : x
2. Step 2: Convert to fraction form
   123,900/263,784 = 263,784/x
3. Step 3: Cross multiply
   123,900x = 263,784 × 263,784
4. Step 4: Simplify right side
   123,900x = 69,581,998,656
5. Step 5: Solve for x
   x = 69,581,998,656/123,900
6. Step 6: Final answer
   x = 561,598.05