Finding the Third Proportional to 123,201 and 263,898

Step by Step Solution

1. Step 1: Write the proportion equation
   123,201 : 263,898 = 263,898 : x
2. Step 2: Convert to fraction form
   123,201/263,898 = 263,898/x
3. Step 3: Cross multiply
   123,201x = 263,898 × 263,898
4. Step 4: Simplify right side
   123,201x = 69,642,154,404
5. Step 5: Solve for x
   x = 69,642,154,404/123,201
6. Step 6: Final answer
   x = 565,272.64