Finding the Third Proportional to 45,600 and 112,458

Step by Step Solution

1. Step 1: Write the proportion equation
   45,600 : 112,458 = 112,458 : x
2. Step 2: Convert to fraction form
   45,600/112,458 = 112,458/x
3. Step 3: Cross multiply
   45,600x = 112,458 × 112,458
4. Step 4: Simplify right side
   45,600x = 12,646,801,764
5. Step 5: Solve for x
   x = 12,646,801,764/45,600
6. Step 6: Final answer
   x = 277,342.14