Finding the Third Proportional to 311,535 and 466,783.50

Step by Step Solution

1. Step 1: Write the proportion equation
   311,535 : 466,783.50 = 466,783.50 : x
2. Step 2: Convert to fraction form
   311,535/466,783.50 = 466,783.50/x
3. Step 3: Cross multiply
   311,535x = 466,783.50 × 466,783.50
4. Step 4: Simplify right side
   311,535x = 217,886,835,872.25
5. Step 5: Solve for x
   x = 217,886,835,872.25/311,535
6. Step 6: Final answer
   x = 699,397.61