Finding the Third Proportional to 311,964 and 463,357.50

Step by Step Solution

1. Step 1: Write the proportion equation
   311,964 : 463,357.50 = 463,357.50 : x
2. Step 2: Convert to fraction form
   311,964/463,357.50 = 463,357.50/x
3. Step 3: Cross multiply
   311,964x = 463,357.50 × 463,357.50
4. Step 4: Simplify right side
   311,964x = 214,700,172,806.25
5. Step 5: Solve for x
   x = 214,700,172,806.25/311,964
6. Step 6: Final answer
   x = 688,220.99