Finding the Third Proportional to 85,680 and 185,659

Step by Step Solution

1. Step 1: Write the proportion equation
   85,680 : 185,659 = 185,659 : x
2. Step 2: Convert to fraction form
   85,680/185,659 = 185,659/x
3. Step 3: Cross multiply
   85,680x = 185,659 × 185,659
4. Step 4: Simplify right side
   85,680x = 34,469,264,281
5. Step 5: Solve for x
   x = 34,469,264,281/85,680
6. Step 6: Final answer
   x = 402,302.34