Finding the Third Proportional to 46,644 and 100,659

Step by Step Solution

1. Step 1: Write the proportion equation
   46,644 : 100,659 = 100,659 : x
2. Step 2: Convert to fraction form
   46,644/100,659 = 100,659/x
3. Step 3: Cross multiply
   46,644x = 100,659 × 100,659
4. Step 4: Simplify right side
   46,644x = 10,132,234,281
5. Step 5: Solve for x
   x = 10,132,234,281/46,644
6. Step 6: Final answer
   x = 217,224.82