Finding the Third Proportional to 111,700 and 263,478

Step by Step Solution

1. Step 1: Write the proportion equation
   111,700 : 263,478 = 263,478 : x
2. Step 2: Convert to fraction form
   111,700/263,478 = 263,478/x
3. Step 3: Cross multiply
   111,700x = 263,478 × 263,478
4. Step 4: Simplify right side
   111,700x = 69,420,656,484
5. Step 5: Solve for x
   x = 69,420,656,484/111,700
6. Step 6: Final answer
   x = 621,492.00