Finding the Third Proportional to 47,046 and 100,653

Step by Step Solution

1. Step 1: Write the proportion equation
   47,046 : 100,653 = 100,653 : x
2. Step 2: Convert to fraction form
   47,046/100,653 = 100,653/x
3. Step 3: Cross multiply
   47,046x = 100,653 × 100,653
4. Step 4: Simplify right side
   47,046x = 10,131,026,409
5. Step 5: Solve for x
   x = 10,131,026,409/47,046
6. Step 6: Final answer
   x = 215,342.99