Finding the Third Proportional to 78,092 and 118,976

Step by Step Solution

1. Step 1: Write the proportion equation
   78,092 : 118,976 = 118,976 : x
2. Step 2: Convert to fraction form
   78,092/118,976 = 118,976/x
3. Step 3: Cross multiply
   78,092x = 118,976 × 118,976
4. Step 4: Simplify right side
   78,092x = 14,155,288,576
5. Step 5: Solve for x
   x = 14,155,288,576/78,092
6. Step 6: Final answer
   x = 181,264.26