Finding the Third Proportional to 152,880 and 335,208

Step by Step Solution

1. Step 1: Write the proportion equation
   152,880 : 335,208 = 335,208 : x
2. Step 2: Convert to fraction form
   152,880/335,208 = 335,208/x
3. Step 3: Cross multiply
   152,880x = 335,208 × 335,208
4. Step 4: Simplify right side
   152,880x = 112,364,403,264
5. Step 5: Solve for x
   x = 112,364,403,264/152,880
6. Step 6: Final answer
   x = 734,984.32