Finding the Third Proportional to 152,857 and 329,148

Step by Step Solution

1. Step 1: Write the proportion equation
   152,857 : 329,148 = 329,148 : x
2. Step 2: Convert to fraction form
   152,857/329,148 = 329,148/x
3. Step 3: Cross multiply
   152,857x = 329,148 × 329,148
4. Step 4: Simplify right side
   152,857x = 108,338,405,904
5. Step 5: Solve for x
   x = 108,338,405,904/152,857
6. Step 6: Final answer
   x = 708,756.59