Finding the Third Proportional to 78,015 and 117,724.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,015 : 117,724.50 = 117,724.50 : x
2. Step 2: Convert to fraction form
   78,015/117,724.50 = 117,724.50/x
3. Step 3: Cross multiply
   78,015x = 117,724.50 × 117,724.50
4. Step 4: Simplify right side
   78,015x = 13,859,057,900.25
5. Step 5: Solve for x
   x = 13,859,057,900.25/78,015
6. Step 6: Final answer
   x = 177,646.07