Finding the Third Proportional to 137,960 and 213,688

Step by Step Solution

1. Step 1: Write the proportion equation
   137,960 : 213,688 = 213,688 : x
2. Step 2: Convert to fraction form
   137,960/213,688 = 213,688/x
3. Step 3: Cross multiply
   137,960x = 213,688 × 213,688
4. Step 4: Simplify right side
   137,960x = 45,662,561,344
5. Step 5: Solve for x
   x = 45,662,561,344/137,960
6. Step 6: Final answer
   x = 330,984.06