Finding the Third Proportional to 37,252 and 78,808

Step by Step Solution

1. Step 1: Write the proportion equation
   37,252 : 78,808 = 78,808 : x
2. Step 2: Convert to fraction form
   37,252/78,808 = 78,808/x
3. Step 3: Cross multiply
   37,252x = 78,808 × 78,808
4. Step 4: Simplify right side
   37,252x = 6,210,700,864
5. Step 5: Solve for x
   x = 6,210,700,864/37,252
6. Step 6: Final answer
   x = 166,721.27