Finding the Third Proportional to 51,024 and 78,164

Step by Step Solution

1. Step 1: Write the proportion equation
   51,024 : 78,164 = 78,164 : x
2. Step 2: Convert to fraction form
   51,024/78,164 = 78,164/x
3. Step 3: Cross multiply
   51,024x = 78,164 × 78,164
4. Step 4: Simplify right side
   51,024x = 6,109,610,896
5. Step 5: Solve for x
   x = 6,109,610,896/51,024
6. Step 6: Final answer
   x = 119,739.94