Finding the Third Proportional to 37,505 and 80,194

Step by Step Solution

1. Step 1: Write the proportion equation
   37,505 : 80,194 = 80,194 : x
2. Step 2: Convert to fraction form
   37,505/80,194 = 80,194/x
3. Step 3: Cross multiply
   37,505x = 80,194 × 80,194
4. Step 4: Simplify right side
   37,505x = 6,431,077,636
5. Step 5: Solve for x
   x = 6,431,077,636/37,505
6. Step 6: Final answer
   x = 171,472.54