Finding the Third Proportional to 153,294 and 333,588

Step by Step Solution

1. Step 1: Write the proportion equation
   153,294 : 333,588 = 333,588 : x
2. Step 2: Convert to fraction form
   153,294/333,588 = 333,588/x
3. Step 3: Cross multiply
   153,294x = 333,588 × 333,588
4. Step 4: Simplify right side
   153,294x = 111,280,953,744
5. Step 5: Solve for x
   x = 111,280,953,744/153,294
6. Step 6: Final answer
   x = 725,931.57