Finding the Third Proportional to 86,607 and 185,741

Step by Step Solution

1. Step 1: Write the proportion equation
   86,607 : 185,741 = 185,741 : x
2. Step 2: Convert to fraction form
   86,607/185,741 = 185,741/x
3. Step 3: Cross multiply
   86,607x = 185,741 × 185,741
4. Step 4: Simplify right side
   86,607x = 34,499,719,081
5. Step 5: Solve for x
   x = 34,499,719,081/86,607
6. Step 6: Final answer
   x = 398,347.93