Finding the Third Proportional to 78,666 and 117,976.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,666 : 117,976.50 = 117,976.50 : x
2. Step 2: Convert to fraction form
   78,666/117,976.50 = 117,976.50/x
3. Step 3: Cross multiply
   78,666x = 117,976.50 × 117,976.50
4. Step 4: Simplify right side
   78,666x = 13,918,454,552.25
5. Step 5: Solve for x
   x = 13,918,454,552.25/78,666
6. Step 6: Final answer
   x = 176,931.01