Finding the Third Proportional to 85,734 and 185,724

Step by Step Solution

1. Step 1: Write the proportion equation
   85,734 : 185,724 = 185,724 : x
2. Step 2: Convert to fraction form
   85,734/185,724 = 185,724/x
3. Step 3: Cross multiply
   85,734x = 185,724 × 185,724
4. Step 4: Simplify right side
   85,734x = 34,493,404,176
5. Step 5: Solve for x
   x = 34,493,404,176/85,734
6. Step 6: Final answer
   x = 402,330.51