Finding the Third Proportional to 47,046 and 100,654

Step by Step Solution

1. Step 1: Write the proportion equation
   47,046 : 100,654 = 100,654 : x
2. Step 2: Convert to fraction form
   47,046/100,654 = 100,654/x
3. Step 3: Cross multiply
   47,046x = 100,654 × 100,654
4. Step 4: Simplify right side
   47,046x = 10,131,227,716
5. Step 5: Solve for x
   x = 10,131,227,716/47,046
6. Step 6: Final answer
   x = 215,347.27