Finding the Third Proportional to 33,775 and 78,188

Step by Step Solution

1. Step 1: Write the proportion equation
   33,775 : 78,188 = 78,188 : x
2. Step 2: Convert to fraction form
   33,775/78,188 = 78,188/x
3. Step 3: Cross multiply
   33,775x = 78,188 × 78,188
4. Step 4: Simplify right side
   33,775x = 6,113,363,344
5. Step 5: Solve for x
   x = 6,113,363,344/33,775
6. Step 6: Final answer
   x = 181,002.62