Finding the Third Proportional to 311,952 and 465,844.50

Step by Step Solution

1. Step 1: Write the proportion equation
   311,952 : 465,844.50 = 465,844.50 : x
2. Step 2: Convert to fraction form
   311,952/465,844.50 = 465,844.50/x
3. Step 3: Cross multiply
   311,952x = 465,844.50 × 465,844.50
4. Step 4: Simplify right side
   311,952x = 217,011,098,180.25
5. Step 5: Solve for x
   x = 217,011,098,180.25/311,952
6. Step 6: Final answer
   x = 695,655.42