Finding the Third Proportional to 78,015.75 and 117,726

Step by Step Solution

1. Step 1: Write the proportion equation
   78,015.75 : 117,726 = 117,726 : x
2. Step 2: Convert to fraction form
   78,015.75/117,726 = 117,726/x
3. Step 3: Cross multiply
   78,015.75x = 117,726 × 117,726
4. Step 4: Simplify right side
   78,015.75x = 13,859,411,076
5. Step 5: Solve for x
   x = 13,859,411,076/78,015.75
6. Step 6: Final answer
   x = 177,648.89