Finding the Third Proportional to 156,769 and 340,916

Step by Step Solution

1. Step 1: Write the proportion equation
   156,769 : 340,916 = 340,916 : x
2. Step 2: Convert to fraction form
   156,769/340,916 = 340,916/x
3. Step 3: Cross multiply
   156,769x = 340,916 × 340,916
4. Step 4: Simplify right side
   156,769x = 116,223,719,056
5. Step 5: Solve for x
   x = 116,223,719,056/156,769
6. Step 6: Final answer
   x = 741,369.27