Finding the Third Proportional to 78,549 and 117,566

Step by Step Solution

1. Step 1: Write the proportion equation
   78,549 : 117,566 = 117,566 : x
2. Step 2: Convert to fraction form
   78,549/117,566 = 117,566/x
3. Step 3: Cross multiply
   78,549x = 117,566 × 117,566
4. Step 4: Simplify right side
   78,549x = 13,821,764,356
5. Step 5: Solve for x
   x = 13,821,764,356/78,549
6. Step 6: Final answer
   x = 175,963.59