Finding the Third Proportional to 316,766.50 and 689,302

Step by Step Solution

1. Step 1: Write the proportion equation
   316,766.50 : 689,302 = 689,302 : x
2. Step 2: Convert to fraction form
   316,766.50/689,302 = 689,302/x
3. Step 3: Cross multiply
   316,766.50x = 689,302 × 689,302
4. Step 4: Simplify right side
   316,766.50x = 475,137,247,204
5. Step 5: Solve for x
   x = 475,137,247,204/316,766.50
6. Step 6: Final answer
   x = 1,499,960.53