Finding the Third Proportional to 156,980 and 340,064

Step by Step Solution

1. Step 1: Write the proportion equation
   156,980 : 340,064 = 340,064 : x
2. Step 2: Convert to fraction form
   156,980/340,064 = 340,064/x
3. Step 3: Cross multiply
   156,980x = 340,064 × 340,064
4. Step 4: Simplify right side
   156,980x = 115,643,524,096
5. Step 5: Solve for x
   x = 115,643,524,096/156,980
6. Step 6: Final answer
   x = 736,676.80