Finding the Third Proportional to 156,969 and 343,082

Step by Step Solution

1. Step 1: Write the proportion equation
   156,969 : 343,082 = 343,082 : x
2. Step 2: Convert to fraction form
   156,969/343,082 = 343,082/x
3. Step 3: Cross multiply
   156,969x = 343,082 × 343,082
4. Step 4: Simplify right side
   156,969x = 117,705,258,724
5. Step 5: Solve for x
   x = 117,705,258,724/156,969
6. Step 6: Final answer
   x = 749,863.09