Finding the Third Proportional to 310,309 and 474,488.75

Step by Step Solution

1. Step 1: Write the proportion equation
   310,309 : 474,488.75 = 474,488.75 : x
2. Step 2: Convert to fraction form
   310,309/474,488.75 = 474,488.75/x
3. Step 3: Cross multiply
   310,309x = 474,488.75 × 474,488.75
4. Step 4: Simplify right side
   310,309x = 225,139,573,876.56
5. Step 5: Solve for x
   x = 225,139,573,876.56/310,309
6. Step 6: Final answer
   x = 725,533.50