Finding the Third Proportional to 57,140 and 117,064

Step by Step Solution

1. Step 1: Write the proportion equation
   57,140 : 117,064 = 117,064 : x
2. Step 2: Convert to fraction form
   57,140/117,064 = 117,064/x
3. Step 3: Cross multiply
   57,140x = 117,064 × 117,064
4. Step 4: Simplify right side
   57,140x = 13,703,980,096
5. Step 5: Solve for x
   x = 13,703,980,096/57,140
6. Step 6: Final answer
   x = 239,831.64