Finding the Third Proportional to 37,278 and 81,540

Step by Step Solution

1. Step 1: Write the proportion equation
   37,278 : 81,540 = 81,540 : x
2. Step 2: Convert to fraction form
   37,278/81,540 = 81,540/x
3. Step 3: Cross multiply
   37,278x = 81,540 × 81,540
4. Step 4: Simplify right side
   37,278x = 6,648,771,600
5. Step 5: Solve for x
   x = 6,648,771,600/37,278
6. Step 6: Final answer
   x = 178,356.45