Finding the Third Proportional to 311,961 and 465,856.50

Step by Step Solution

1. Step 1: Write the proportion equation
   311,961 : 465,856.50 = 465,856.50 : x
2. Step 2: Convert to fraction form
   311,961/465,856.50 = 465,856.50/x
3. Step 3: Cross multiply
   311,961x = 465,856.50 × 465,856.50
4. Step 4: Simplify right side
   311,961x = 217,022,278,592.25
5. Step 5: Solve for x
   x = 217,022,278,592.25/311,961
6. Step 6: Final answer
   x = 695,671.19