Finding the Third Proportional to 37,404 and 78,399

Step by Step Solution

1. Step 1: Write the proportion equation
   37,404 : 78,399 = 78,399 : x
2. Step 2: Convert to fraction form
   37,404/78,399 = 78,399/x
3. Step 3: Cross multiply
   37,404x = 78,399 × 78,399
4. Step 4: Simplify right side
   37,404x = 6,146,403,201
5. Step 5: Solve for x
   x = 6,146,403,201/37,404
6. Step 6: Final answer
   x = 164,324.76