Finding the Third Proportional to 186,168.50 and 401,854.50

Step by Step Solution

1. Step 1: Write the proportion equation
   186,168.50 : 401,854.50 = 401,854.50 : x
2. Step 2: Convert to fraction form
   186,168.50/401,854.50 = 401,854.50/x
3. Step 3: Cross multiply
   186,168.50x = 401,854.50 × 401,854.50
4. Step 4: Simplify right side
   186,168.50x = 161,487,039,170.25
5. Step 5: Solve for x
   x = 161,487,039,170.25/186,168.50
6. Step 6: Final answer
   x = 867,424.08