Finding the Third Proportional to 85,839 and 185,832

Step by Step Solution

1. Step 1: Write the proportion equation
   85,839 : 185,832 = 185,832 : x
2. Step 2: Convert to fraction form
   85,839/185,832 = 185,832/x
3. Step 3: Cross multiply
   85,839x = 185,832 × 185,832
4. Step 4: Simplify right side
   85,839x = 34,533,532,224
5. Step 5: Solve for x
   x = 34,533,532,224/85,839
6. Step 6: Final answer
   x = 402,305.85