Finding the Third Proportional to 345,260 and 525,096

Step by Step Solution

1. Step 1: Write the proportion equation
   345,260 : 525,096 = 525,096 : x
2. Step 2: Convert to fraction form
   345,260/525,096 = 525,096/x
3. Step 3: Cross multiply
   345,260x = 525,096 × 525,096
4. Step 4: Simplify right side
   345,260x = 275,725,809,216
5. Step 5: Solve for x
   x = 275,725,809,216/345,260
6. Step 6: Final answer
   x = 798,603.40