Finding the Third Proportional to 47,654 and 104,194

Step by Step Solution

1. Step 1: Write the proportion equation
   47,654 : 104,194 = 104,194 : x
2. Step 2: Convert to fraction form
   47,654/104,194 = 104,194/x
3. Step 3: Cross multiply
   47,654x = 104,194 × 104,194
4. Step 4: Simplify right side
   47,654x = 10,856,389,636
5. Step 5: Solve for x
   x = 10,856,389,636/47,654
6. Step 6: Final answer
   x = 227,816.96