Finding the Third Proportional to 78,397.50 and 117,772.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,397.50 : 117,772.50 = 117,772.50 : x
2. Step 2: Convert to fraction form
   78,397.50/117,772.50 = 117,772.50/x
3. Step 3: Cross multiply
   78,397.50x = 117,772.50 × 117,772.50
4. Step 4: Simplify right side
   78,397.50x = 13,870,361,756.25
5. Step 5: Solve for x
   x = 13,870,361,756.25/78,397.50
6. Step 6: Final answer
   x = 176,923.52