Finding the Third Proportional to 33,800 and 78,244.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,800 : 78,244.50 = 78,244.50 : x
2. Step 2: Convert to fraction form
   33,800/78,244.50 = 78,244.50/x
3. Step 3: Cross multiply
   33,800x = 78,244.50 × 78,244.50
4. Step 4: Simplify right side
   33,800x = 6,122,201,780.25
5. Step 5: Solve for x
   x = 6,122,201,780.25/33,800
6. Step 6: Final answer
   x = 181,130.23