Finding the Third Proportional to 81,952 and 116,064

Step by Step Solution

1. Step 1: Write the proportion equation
   81,952 : 116,064 = 116,064 : x
2. Step 2: Convert to fraction form
   81,952/116,064 = 116,064/x
3. Step 3: Cross multiply
   81,952x = 116,064 × 116,064
4. Step 4: Simplify right side
   81,952x = 13,470,852,096
5. Step 5: Solve for x
   x = 13,470,852,096/81,952
6. Step 6: Final answer
   x = 164,374.90