Finding the Third Proportional to 37,308 and 81,180

Step by Step Solution

1. Step 1: Write the proportion equation
   37,308 : 81,180 = 81,180 : x
2. Step 2: Convert to fraction form
   37,308/81,180 = 81,180/x
3. Step 3: Cross multiply
   37,308x = 81,180 × 81,180
4. Step 4: Simplify right side
   37,308x = 6,590,192,400
5. Step 5: Solve for x
   x = 6,590,192,400/37,308
6. Step 6: Final answer
   x = 176,642.88