Finding the Third Proportional to 311,683.50 and 474,086.25

Step by Step Solution

1. Step 1: Write the proportion equation
   311,683.50 : 474,086.25 = 474,086.25 : x
2. Step 2: Convert to fraction form
   311,683.50/474,086.25 = 474,086.25/x
3. Step 3: Cross multiply
   311,683.50x = 474,086.25 × 474,086.25
4. Step 4: Simplify right side
   311,683.50x = 224,757,772,439.06
5. Step 5: Solve for x
   x = 224,757,772,439.06/311,683.50
6. Step 6: Final answer
   x = 721,108.99