Finding the Third Proportional to 152,784 and 335,696

Step by Step Solution

1. Step 1: Write the proportion equation
   152,784 : 335,696 = 335,696 : x
2. Step 2: Convert to fraction form
   152,784/335,696 = 335,696/x
3. Step 3: Cross multiply
   152,784x = 335,696 × 335,696
4. Step 4: Simplify right side
   152,784x = 112,691,804,416
5. Step 5: Solve for x
   x = 112,691,804,416/152,784
6. Step 6: Final answer
   x = 737,589.04