Finding the Third Proportional to 37,118 and 77,296

Step by Step Solution

1. Step 1: Write the proportion equation
   37,118 : 77,296 = 77,296 : x
2. Step 2: Convert to fraction form
   37,118/77,296 = 77,296/x
3. Step 3: Cross multiply
   37,118x = 77,296 × 77,296
4. Step 4: Simplify right side
   37,118x = 5,974,671,616
5. Step 5: Solve for x
   x = 5,974,671,616/37,118
6. Step 6: Final answer
   x = 160,964.27