Finding the Third Proportional to 69,880 and 111,462

Step by Step Solution

1. Step 1: Write the proportion equation
   69,880 : 111,462 = 111,462 : x
2. Step 2: Convert to fraction form
   69,880/111,462 = 111,462/x
3. Step 3: Cross multiply
   69,880x = 111,462 × 111,462
4. Step 4: Simplify right side
   69,880x = 12,423,777,444
5. Step 5: Solve for x
   x = 12,423,777,444/69,880
6. Step 6: Final answer
   x = 177,787.31