Finding the Third Proportional to 33,792 and 78,312

Step by Step Solution

1. Step 1: Write the proportion equation
   33,792 : 78,312 = 78,312 : x
2. Step 2: Convert to fraction form
   33,792/78,312 = 78,312/x
3. Step 3: Cross multiply
   33,792x = 78,312 × 78,312
4. Step 4: Simplify right side
   33,792x = 6,132,769,344
5. Step 5: Solve for x
   x = 6,132,769,344/33,792
6. Step 6: Final answer
   x = 181,485.84