Finding the Third Proportional to 37,116 and 78,372

Step by Step Solution

1. Step 1: Write the proportion equation
   37,116 : 78,372 = 78,372 : x
2. Step 2: Convert to fraction form
   37,116/78,372 = 78,372/x
3. Step 3: Cross multiply
   37,116x = 78,372 × 78,372
4. Step 4: Simplify right side
   37,116x = 6,142,170,384
5. Step 5: Solve for x
   x = 6,142,170,384/37,116
6. Step 6: Final answer
   x = 165,485.78