Finding the Third Proportional to 152,836 and 335,196

Step by Step Solution

1. Step 1: Write the proportion equation
   152,836 : 335,196 = 335,196 : x
2. Step 2: Convert to fraction form
   152,836/335,196 = 335,196/x
3. Step 3: Cross multiply
   152,836x = 335,196 × 335,196
4. Step 4: Simplify right side
   152,836x = 112,356,358,416
5. Step 5: Solve for x
   x = 112,356,358,416/152,836
6. Step 6: Final answer
   x = 735,143.28