Finding the Third Proportional to 213,791.59 and 464,795.40

Step by Step Solution

1. Step 1: Write the proportion equation
   213,791.59 : 464,795.40 = 464,795.40 : x
2. Step 2: Convert to fraction form
   213,791.59/464,795.40 = 464,795.40/x
3. Step 3: Cross multiply
   213,791.59x = 464,795.40 × 464,795.40
4. Step 4: Simplify right side
   213,791.59x = 216,034,766,039.89
5. Step 5: Solve for x
   x = 216,034,766,039.89/213,791.59
6. Step 6: Final answer
   x = 1,010,492.35