Finding the Third Proportional to 33,342 and 78,706

Step by Step Solution

1. Step 1: Write the proportion equation
   33,342 : 78,706 = 78,706 : x
2. Step 2: Convert to fraction form
   33,342/78,706 = 78,706/x
3. Step 3: Cross multiply
   33,342x = 78,706 × 78,706
4. Step 4: Simplify right side
   33,342x = 6,194,634,436
5. Step 5: Solve for x
   x = 6,194,634,436/33,342
6. Step 6: Final answer
   x = 185,790.73