Finding the Third Proportional to 156,984 and 339,116

Step by Step Solution

1. Step 1: Write the proportion equation
   156,984 : 339,116 = 339,116 : x
2. Step 2: Convert to fraction form
   156,984/339,116 = 339,116/x
3. Step 3: Cross multiply
   156,984x = 339,116 × 339,116
4. Step 4: Simplify right side
   156,984x = 114,999,661,456
5. Step 5: Solve for x
   x = 114,999,661,456/156,984
6. Step 6: Final answer
   x = 732,556.58