Finding the Third Proportional to 64,300 and 137,096

Step by Step Solution

1. Step 1: Write the proportion equation
   64,300 : 137,096 = 137,096 : x
2. Step 2: Convert to fraction form
   64,300/137,096 = 137,096/x
3. Step 3: Cross multiply
   64,300x = 137,096 × 137,096
4. Step 4: Simplify right side
   64,300x = 18,795,313,216
5. Step 5: Solve for x
   x = 18,795,313,216/64,300
6. Step 6: Final answer
   x = 292,306.58