Finding the Third Proportional to 301,081.50 and 465,114

Step by Step Solution

1. Step 1: Write the proportion equation
   301,081.50 : 465,114 = 465,114 : x
2. Step 2: Convert to fraction form
   301,081.50/465,114 = 465,114/x
3. Step 3: Cross multiply
   301,081.50x = 465,114 × 465,114
4. Step 4: Simplify right side
   301,081.50x = 216,331,032,996
5. Step 5: Solve for x
   x = 216,331,032,996/301,081.50
6. Step 6: Final answer
   x = 718,513.20