Finding the Third Proportional to 468,054 and 685,417.50

Step by Step Solution

1. Step 1: Write the proportion equation
   468,054 : 685,417.50 = 685,417.50 : x
2. Step 2: Convert to fraction form
   468,054/685,417.50 = 685,417.50/x
3. Step 3: Cross multiply
   468,054x = 685,417.50 × 685,417.50
4. Step 4: Simplify right side
   468,054x = 469,797,149,306.25
5. Step 5: Solve for x
   x = 469,797,149,306.25/468,054
6. Step 6: Final answer
   x = 1,003,724.25