Finding the Third Proportional to 311,529.50 and 466,776

Step by Step Solution

1. Step 1: Write the proportion equation
   311,529.50 : 466,776 = 466,776 : x
2. Step 2: Convert to fraction form
   311,529.50/466,776 = 466,776/x
3. Step 3: Cross multiply
   311,529.50x = 466,776 × 466,776
4. Step 4: Simplify right side
   311,529.50x = 217,879,834,176
5. Step 5: Solve for x
   x = 217,879,834,176/311,529.50
6. Step 6: Final answer
   x = 699,387.49