Finding the Third Proportional to 123,084 and 263,226

Step by Step Solution

1. Step 1: Write the proportion equation
   123,084 : 263,226 = 263,226 : x
2. Step 2: Convert to fraction form
   123,084/263,226 = 263,226/x
3. Step 3: Cross multiply
   123,084x = 263,226 × 263,226
4. Step 4: Simplify right side
   123,084x = 69,287,927,076
5. Step 5: Solve for x
   x = 69,287,927,076/123,084
6. Step 6: Final answer
   x = 562,932.04