Finding the Third Proportional to 37,188 and 80,208

Step by Step Solution

1. Step 1: Write the proportion equation
   37,188 : 80,208 = 80,208 : x
2. Step 2: Convert to fraction form
   37,188/80,208 = 80,208/x
3. Step 3: Cross multiply
   37,188x = 80,208 × 80,208
4. Step 4: Simplify right side
   37,188x = 6,433,323,264
5. Step 5: Solve for x
   x = 6,433,323,264/37,188
6. Step 6: Final answer
   x = 172,994.60