Finding the Third Proportional to 335,834 and 709,572.50

Step by Step Solution

1. Step 1: Write the proportion equation
   335,834 : 709,572.50 = 709,572.50 : x
2. Step 2: Convert to fraction form
   335,834/709,572.50 = 709,572.50/x
3. Step 3: Cross multiply
   335,834x = 709,572.50 × 709,572.50
4. Step 4: Simplify right side
   335,834x = 503,493,132,756.25
5. Step 5: Solve for x
   x = 503,493,132,756.25/335,834
6. Step 6: Final answer
   x = 1,499,232.16