Finding the Third Proportional to 301,501.50 and 461,848.50

Step by Step Solution

1. Step 1: Write the proportion equation
   301,501.50 : 461,848.50 = 461,848.50 : x
2. Step 2: Convert to fraction form
   301,501.50/461,848.50 = 461,848.50/x
3. Step 3: Cross multiply
   301,501.50x = 461,848.50 × 461,848.50
4. Step 4: Simplify right side
   301,501.50x = 213,304,036,952.25
5. Step 5: Solve for x
   x = 213,304,036,952.25/301,501.50
6. Step 6: Final answer
   x = 707,472.56