Finding the Third Proportional to 156,928 and 343,196

Step by Step Solution

1. Step 1: Write the proportion equation
   156,928 : 343,196 = 343,196 : x
2. Step 2: Convert to fraction form
   156,928/343,196 = 343,196/x
3. Step 3: Cross multiply
   156,928x = 343,196 × 343,196
4. Step 4: Simplify right side
   156,928x = 117,783,494,416
5. Step 5: Solve for x
   x = 117,783,494,416/156,928
6. Step 6: Final answer
   x = 750,557.54