Finding the Third Proportional to 42,849 and 92,826

Step by Step Solution

1. Step 1: Write the proportion equation
   42,849 : 92,826 = 92,826 : x
2. Step 2: Convert to fraction form
   42,849/92,826 = 92,826/x
3. Step 3: Cross multiply
   42,849x = 92,826 × 92,826
4. Step 4: Simplify right side
   42,849x = 8,616,666,276
5. Step 5: Solve for x
   x = 8,616,666,276/42,849
6. Step 6: Final answer
   x = 201,093.75