Finding the Third Proportional to 46,584 and 100,566

Step by Step Solution

1. Step 1: Write the proportion equation
   46,584 : 100,566 = 100,566 : x
2. Step 2: Convert to fraction form
   46,584/100,566 = 100,566/x
3. Step 3: Cross multiply
   46,584x = 100,566 × 100,566
4. Step 4: Simplify right side
   46,584x = 10,113,520,356
5. Step 5: Solve for x
   x = 10,113,520,356/46,584
6. Step 6: Final answer
   x = 217,102.88