Finding the Third Proportional to 305,082 and 461,566.50

Step by Step Solution

1. Step 1: Write the proportion equation
   305,082 : 461,566.50 = 461,566.50 : x
2. Step 2: Convert to fraction form
   305,082/461,566.50 = 461,566.50/x
3. Step 3: Cross multiply
   305,082x = 461,566.50 × 461,566.50
4. Step 4: Simplify right side
   305,082x = 213,043,633,922.25
5. Step 5: Solve for x
   x = 213,043,633,922.25/305,082
6. Step 6: Final answer
   x = 698,315.97