Finding the Third Proportional to 77,680 and 116,204

Step by Step Solution

1. Step 1: Write the proportion equation
   77,680 : 116,204 = 116,204 : x
2. Step 2: Convert to fraction form
   77,680/116,204 = 116,204/x
3. Step 3: Cross multiply
   77,680x = 116,204 × 116,204
4. Step 4: Simplify right side
   77,680x = 13,503,369,616
5. Step 5: Solve for x
   x = 13,503,369,616/77,680
6. Step 6: Final answer
   x = 173,833.29