Finding the Third Proportional to 208,117.50 and 311,328

Step by Step Solution

1. Step 1: Write the proportion equation
   208,117.50 : 311,328 = 311,328 : x
2. Step 2: Convert to fraction form
   208,117.50/311,328 = 311,328/x
3. Step 3: Cross multiply
   208,117.50x = 311,328 × 311,328
4. Step 4: Simplify right side
   208,117.50x = 96,925,123,584
5. Step 5: Solve for x
   x = 96,925,123,584/208,117.50
6. Step 6: Final answer
   x = 465,723.08