Finding the Third Proportional to 78,275.25 and 117,772.88

Step by Step Solution

1. Step 1: Write the proportion equation
   78,275.25 : 117,772.88 = 117,772.88 : x
2. Step 2: Convert to fraction form
   78,275.25/117,772.88 = 117,772.88/x
3. Step 3: Cross multiply
   78,275.25x = 117,772.88 × 117,772.88
4. Step 4: Simplify right side
   78,275.25x = 13,870,450,085.77
5. Step 5: Solve for x
   x = 13,870,450,085.77/78,275.25
6. Step 6: Final answer
   x = 177,200.97