Finding the Third Proportional to 185,078.25 and 401,870.25

Step by Step Solution

1. Step 1: Write the proportion equation
   185,078.25 : 401,870.25 = 401,870.25 : x
2. Step 2: Convert to fraction form
   185,078.25/401,870.25 = 401,870.25/x
3. Step 3: Cross multiply
   185,078.25x = 401,870.25 × 401,870.25
4. Step 4: Simplify right side
   185,078.25x = 161,499,697,835.06
5. Step 5: Solve for x
   x = 161,499,697,835.06/185,078.25
6. Step 6: Final answer
   x = 872,602.25