Finding the Third Proportional to 37,262 and 79,856

Step by Step Solution

1. Step 1: Write the proportion equation
   37,262 : 79,856 = 79,856 : x
2. Step 2: Convert to fraction form
   37,262/79,856 = 79,856/x
3. Step 3: Cross multiply
   37,262x = 79,856 × 79,856
4. Step 4: Simplify right side
   37,262x = 6,376,980,736
5. Step 5: Solve for x
   x = 6,376,980,736/37,262
6. Step 6: Final answer
   x = 171,138.98