Finding the Third Proportional to 46,506 and 98,826

Step by Step Solution

1. Step 1: Write the proportion equation
   46,506 : 98,826 = 98,826 : x
2. Step 2: Convert to fraction form
   46,506/98,826 = 98,826/x
3. Step 3: Cross multiply
   46,506x = 98,826 × 98,826
4. Step 4: Simplify right side
   46,506x = 9,766,578,276
5. Step 5: Solve for x
   x = 9,766,578,276/46,506
6. Step 6: Final answer
   x = 210,006.84