Finding the Third Proportional to 47,096 and 102,940

Step by Step Solution

1. Step 1: Write the proportion equation
   47,096 : 102,940 = 102,940 : x
2. Step 2: Convert to fraction form
   47,096/102,940 = 102,940/x
3. Step 3: Cross multiply
   47,096x = 102,940 × 102,940
4. Step 4: Simplify right side
   47,096x = 10,596,643,600
5. Step 5: Solve for x
   x = 10,596,643,600/47,096
6. Step 6: Final answer
   x = 225,000.93