Finding the Third Proportional to 85,764 and 185,838

Step by Step Solution

1. Step 1: Write the proportion equation
   85,764 : 185,838 = 185,838 : x
2. Step 2: Convert to fraction form
   85,764/185,838 = 185,838/x
3. Step 3: Cross multiply
   85,764x = 185,838 × 185,838
4. Step 4: Simplify right side
   85,764x = 34,535,762,244
5. Step 5: Solve for x
   x = 34,535,762,244/85,764
6. Step 6: Final answer
   x = 402,683.67