Finding the Third Proportional to 111,680 and 263,432

Step by Step Solution

1. Step 1: Write the proportion equation
   111,680 : 263,432 = 263,432 : x
2. Step 2: Convert to fraction form
   111,680/263,432 = 263,432/x
3. Step 3: Cross multiply
   111,680x = 263,432 × 263,432
4. Step 4: Simplify right side
   111,680x = 69,396,418,624
5. Step 5: Solve for x
   x = 69,396,418,624/111,680
6. Step 6: Final answer
   x = 621,386.27