Finding the Third Proportional to 47,312 and 103,840

Step by Step Solution

1. Step 1: Write the proportion equation
   47,312 : 103,840 = 103,840 : x
2. Step 2: Convert to fraction form
   47,312/103,840 = 103,840/x
3. Step 3: Cross multiply
   47,312x = 103,840 × 103,840
4. Step 4: Simplify right side
   47,312x = 10,782,745,600
5. Step 5: Solve for x
   x = 10,782,745,600/47,312
6. Step 6: Final answer
   x = 227,907.20