Finding the Third Proportional to 37,196 and 78,218

Step by Step Solution

1. Step 1: Write the proportion equation
   37,196 : 78,218 = 78,218 : x
2. Step 2: Convert to fraction form
   37,196/78,218 = 78,218/x
3. Step 3: Cross multiply
   37,196x = 78,218 × 78,218
4. Step 4: Simplify right side
   37,196x = 6,118,055,524
5. Step 5: Solve for x
   x = 6,118,055,524/37,196
6. Step 6: Final answer
   x = 164,481.54