Finding the Third Proportional to 40,426 and 86,348

Step by Step Solution

1. Step 1: Write the proportion equation
   40,426 : 86,348 = 86,348 : x
2. Step 2: Convert to fraction form
   40,426/86,348 = 86,348/x
3. Step 3: Cross multiply
   40,426x = 86,348 × 86,348
4. Step 4: Simplify right side
   40,426x = 7,455,977,104
5. Step 5: Solve for x
   x = 7,455,977,104/40,426
6. Step 6: Final answer
   x = 184,435.19