Finding the Third Proportional to 153,297 and 333,594

Step by Step Solution

1. Step 1: Write the proportion equation
   153,297 : 333,594 = 333,594 : x
2. Step 2: Convert to fraction form
   153,297/333,594 = 333,594/x
3. Step 3: Cross multiply
   153,297x = 333,594 × 333,594
4. Step 4: Simplify right side
   153,297x = 111,284,956,836
5. Step 5: Solve for x
   x = 111,284,956,836/153,297
6. Step 6: Final answer
   x = 725,943.47