Finding the Third Proportional to 185,065.50 and 401,842.50

Step by Step Solution

1. Step 1: Write the proportion equation
   185,065.50 : 401,842.50 = 401,842.50 : x
2. Step 2: Convert to fraction form
   185,065.50/401,842.50 = 401,842.50/x
3. Step 3: Cross multiply
   185,065.50x = 401,842.50 × 401,842.50
4. Step 4: Simplify right side
   185,065.50x = 161,477,394,806.25
5. Step 5: Solve for x
   x = 161,477,394,806.25/185,065.50
6. Step 6: Final answer
   x = 872,541.86