Finding the Third Proportional to 33,344 and 78,711.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,344 : 78,711.50 = 78,711.50 : x
2. Step 2: Convert to fraction form
   33,344/78,711.50 = 78,711.50/x
3. Step 3: Cross multiply
   33,344x = 78,711.50 × 78,711.50
4. Step 4: Simplify right side
   33,344x = 6,195,500,232.25
5. Step 5: Solve for x
   x = 6,195,500,232.25/33,344
6. Step 6: Final answer
   x = 185,805.55