Finding the Third Proportional to 111,688 and 263,448

Step by Step Solution

1. Step 1: Write the proportion equation
   111,688 : 263,448 = 263,448 : x
2. Step 2: Convert to fraction form
   111,688/263,448 = 263,448/x
3. Step 3: Cross multiply
   111,688x = 263,448 × 263,448
4. Step 4: Simplify right side
   111,688x = 69,404,848,704
5. Step 5: Solve for x
   x = 69,404,848,704/111,688
6. Step 6: Final answer
   x = 621,417.24