Finding the Third Proportional to 85,875 and 186,039

Step by Step Solution

1. Step 1: Write the proportion equation
   85,875 : 186,039 = 186,039 : x
2. Step 2: Convert to fraction form
   85,875/186,039 = 186,039/x
3. Step 3: Cross multiply
   85,875x = 186,039 × 186,039
4. Step 4: Simplify right side
   85,875x = 34,610,509,521
5. Step 5: Solve for x
   x = 34,610,509,521/85,875
6. Step 6: Final answer
   x = 403,033.59