Finding the Third Proportional to 78,592 and 166,880

Step by Step Solution

1. Step 1: Write the proportion equation
   78,592 : 166,880 = 166,880 : x
2. Step 2: Convert to fraction form
   78,592/166,880 = 166,880/x
3. Step 3: Cross multiply
   78,592x = 166,880 × 166,880
4. Step 4: Simplify right side
   78,592x = 27,848,934,400
5. Step 5: Solve for x
   x = 27,848,934,400/78,592
6. Step 6: Final answer
   x = 354,348.21