Finding the Third Proportional to 46,586 and 100,558

Step by Step Solution

1. Step 1: Write the proportion equation
   46,586 : 100,558 = 100,558 : x
2. Step 2: Convert to fraction form
   46,586/100,558 = 100,558/x
3. Step 3: Cross multiply
   46,586x = 100,558 × 100,558
4. Step 4: Simplify right side
   46,586x = 10,111,911,364
5. Step 5: Solve for x
   x = 10,111,911,364/46,586
6. Step 6: Final answer
   x = 217,059.02