Finding the Third Proportional to 47,634 and 112,281

Step by Step Solution

1. Step 1: Write the proportion equation
   47,634 : 112,281 = 112,281 : x
2. Step 2: Convert to fraction form
   47,634/112,281 = 112,281/x
3. Step 3: Cross multiply
   47,634x = 112,281 × 112,281
4. Step 4: Simplify right side
   47,634x = 12,607,022,961
5. Step 5: Solve for x
   x = 12,607,022,961/47,634
6. Step 6: Final answer
   x = 264,664.38