Finding the Third Proportional to 206,914.50 and 311,061

Step by Step Solution

1. Step 1: Write the proportion equation
   206,914.50 : 311,061 = 311,061 : x
2. Step 2: Convert to fraction form
   206,914.50/311,061 = 311,061/x
3. Step 3: Cross multiply
   206,914.50x = 311,061 × 311,061
4. Step 4: Simplify right side
   206,914.50x = 96,758,945,721
5. Step 5: Solve for x
   x = 96,758,945,721/206,914.50
6. Step 6: Final answer
   x = 467,627.67