Finding the Third Proportional to 152,102 and 339,196

Step by Step Solution

1. Step 1: Write the proportion equation
   152,102 : 339,196 = 339,196 : x
2. Step 2: Convert to fraction form
   152,102/339,196 = 339,196/x
3. Step 3: Cross multiply
   152,102x = 339,196 × 339,196
4. Step 4: Simplify right side
   152,102x = 115,053,926,416
5. Step 5: Solve for x
   x = 115,053,926,416/152,102
6. Step 6: Final answer
   x = 756,426.12