Finding the Third Proportional to 37,298 and 78,724

Step by Step Solution

1. Step 1: Write the proportion equation
   37,298 : 78,724 = 78,724 : x
2. Step 2: Convert to fraction form
   37,298/78,724 = 78,724/x
3. Step 3: Cross multiply
   37,298x = 78,724 × 78,724
4. Step 4: Simplify right side
   37,298x = 6,197,468,176
5. Step 5: Solve for x
   x = 6,197,468,176/37,298
6. Step 6: Final answer
   x = 166,160.87