Finding the Third Proportional to 33,774 and 78,187.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,774 : 78,187.50 = 78,187.50 : x
2. Step 2: Convert to fraction form
   33,774/78,187.50 = 78,187.50/x
3. Step 3: Cross multiply
   33,774x = 78,187.50 × 78,187.50
4. Step 4: Simplify right side
   33,774x = 6,113,285,156.25
5. Step 5: Solve for x
   x = 6,113,285,156.25/33,774
6. Step 6: Final answer
   x = 181,005.66