Finding the Third Proportional to 33,770.25 and 78,178.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,770.25 : 78,178.50 = 78,178.50 : x
2. Step 2: Convert to fraction form
   33,770.25/78,178.50 = 78,178.50/x
3. Step 3: Cross multiply
   33,770.25x = 78,178.50 × 78,178.50
4. Step 4: Simplify right side
   33,770.25x = 6,111,877,862.25
5. Step 5: Solve for x
   x = 6,111,877,862.25/33,770.25
6. Step 6: Final answer
   x = 180,984.09