Finding the Third Proportional to 78,348.94 and 117,522.56

Step by Step Solution

1. Step 1: Write the proportion equation
   78,348.94 : 117,522.56 = 117,522.56 : x
2. Step 2: Convert to fraction form
   78,348.94/117,522.56 = 117,522.56/x
3. Step 3: Cross multiply
   78,348.94x = 117,522.56 × 117,522.56
4. Step 4: Simplify right side
   78,348.94x = 13,811,552,696.57
5. Step 5: Solve for x
   x = 13,811,552,696.57/78,348.94
6. Step 6: Final answer
   x = 176,282.58