Finding the Third Proportional to 185,065 and 401,840.50

Step by Step Solution

1. Step 1: Write the proportion equation
   185,065 : 401,840.50 = 401,840.50 : x
2. Step 2: Convert to fraction form
   185,065/401,840.50 = 401,840.50/x
3. Step 3: Cross multiply
   185,065x = 401,840.50 × 401,840.50
4. Step 4: Simplify right side
   185,065x = 161,475,787,440.25
5. Step 5: Solve for x
   x = 161,475,787,440.25/185,065
6. Step 6: Final answer
   x = 872,535.53