Finding the Third Proportional to 156,965 and 343,089

Step by Step Solution

1. Step 1: Write the proportion equation
   156,965 : 343,089 = 343,089 : x
2. Step 2: Convert to fraction form
   156,965/343,089 = 343,089/x
3. Step 3: Cross multiply
   156,965x = 343,089 × 343,089
4. Step 4: Simplify right side
   156,965x = 117,710,061,921
5. Step 5: Solve for x
   x = 117,710,061,921/156,965
6. Step 6: Final answer
   x = 749,912.80