Finding the Third Proportional to 309,735 and 473,488.50

Step by Step Solution

1. Step 1: Write the proportion equation
   309,735 : 473,488.50 = 473,488.50 : x
2. Step 2: Convert to fraction form
   309,735/473,488.50 = 473,488.50/x
3. Step 3: Cross multiply
   309,735x = 473,488.50 × 473,488.50
4. Step 4: Simplify right side
   309,735x = 224,191,359,632.25
5. Step 5: Solve for x
   x = 224,191,359,632.25/309,735
6. Step 6: Final answer
   x = 723,816.68