Finding the Third Proportional to 186,205.50 and 401,922

Step by Step Solution

1. Step 1: Write the proportion equation
   186,205.50 : 401,922 = 401,922 : x
2. Step 2: Convert to fraction form
   186,205.50/401,922 = 401,922/x
3. Step 3: Cross multiply
   186,205.50x = 401,922 × 401,922
4. Step 4: Simplify right side
   186,205.50x = 161,541,294,084
5. Step 5: Solve for x
   x = 161,541,294,084/186,205.50
6. Step 6: Final answer
   x = 867,543.09