Finding the Third Proportional to 311,853 and 474,340.50

Step by Step Solution

1. Step 1: Write the proportion equation
   311,853 : 474,340.50 = 474,340.50 : x
2. Step 2: Convert to fraction form
   311,853/474,340.50 = 474,340.50/x
3. Step 3: Cross multiply
   311,853x = 474,340.50 × 474,340.50
4. Step 4: Simplify right side
   311,853x = 224,998,909,940.25
5. Step 5: Solve for x
   x = 224,998,909,940.25/311,853
6. Step 6: Final answer
   x = 721,490.29