Finding the Third Proportional to 46,880 and 112,032

Step by Step Solution

1. Step 1: Write the proportion equation
   46,880 : 112,032 = 112,032 : x
2. Step 2: Convert to fraction form
   46,880/112,032 = 112,032/x
3. Step 3: Cross multiply
   46,880x = 112,032 × 112,032
4. Step 4: Simplify right side
   46,880x = 12,551,169,024
5. Step 5: Solve for x
   x = 12,551,169,024/46,880
6. Step 6: Final answer
   x = 267,729.71