Finding the Third Proportional to 310,081.50 and 465,117

Step by Step Solution

1. Step 1: Write the proportion equation
   310,081.50 : 465,117 = 465,117 : x
2. Step 2: Convert to fraction form
   310,081.50/465,117 = 465,117/x
3. Step 3: Cross multiply
   310,081.50x = 465,117 × 465,117
4. Step 4: Simplify right side
   310,081.50x = 216,333,823,689
5. Step 5: Solve for x
   x = 216,333,823,689/310,081.50
6. Step 6: Final answer
   x = 697,667.63