Finding the Third Proportional to 33,781.50 and 78,206.25

Step by Step Solution

1. Step 1: Write the proportion equation
   33,781.50 : 78,206.25 = 78,206.25 : x
2. Step 2: Convert to fraction form
   33,781.50/78,206.25 = 78,206.25/x
3. Step 3: Cross multiply
   33,781.50x = 78,206.25 × 78,206.25
4. Step 4: Simplify right side
   33,781.50x = 6,116,217,539.06
5. Step 5: Solve for x
   x = 6,116,217,539.06/33,781.50
6. Step 6: Final answer
   x = 181,052.28