Finding the Third Proportional to 396,006 and 525,109.50

Step by Step Solution

1. Step 1: Write the proportion equation
   396,006 : 525,109.50 = 525,109.50 : x
2. Step 2: Convert to fraction form
   396,006/525,109.50 = 525,109.50/x
3. Step 3: Cross multiply
   396,006x = 525,109.50 × 525,109.50
4. Step 4: Simplify right side
   396,006x = 275,739,986,990.25
5. Step 5: Solve for x
   x = 275,739,986,990.25/396,006
6. Step 6: Final answer
   x = 696,302.55