Finding the Third Proportional to 310,689 and 460,120.50

Step by Step Solution

1. Step 1: Write the proportion equation
   310,689 : 460,120.50 = 460,120.50 : x
2. Step 2: Convert to fraction form
   310,689/460,120.50 = 460,120.50/x
3. Step 3: Cross multiply
   310,689x = 460,120.50 × 460,120.50
4. Step 4: Simplify right side
   310,689x = 211,710,874,520.25
5. Step 5: Solve for x
   x = 211,710,874,520.25/310,689
6. Step 6: Final answer
   x = 681,423.79