Finding the Third Proportional to 78,378 and 117,382.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,378 : 117,382.50 = 117,382.50 : x
2. Step 2: Convert to fraction form
   78,378/117,382.50 = 117,382.50/x
3. Step 3: Cross multiply
   78,378x = 117,382.50 × 117,382.50
4. Step 4: Simplify right side
   78,378x = 13,778,651,306.25
5. Step 5: Solve for x
   x = 13,778,651,306.25/78,378
6. Step 6: Final answer
   x = 175,797.43