Finding the Third Proportional to 85,625 and 184,426

Step by Step Solution

1. Step 1: Write the proportion equation
   85,625 : 184,426 = 184,426 : x
2. Step 2: Convert to fraction form
   85,625/184,426 = 184,426/x
3. Step 3: Cross multiply
   85,625x = 184,426 × 184,426
4. Step 4: Simplify right side
   85,625x = 34,012,949,476
5. Step 5: Solve for x
   x = 34,012,949,476/85,625
6. Step 6: Final answer
   x = 397,231.53