Finding the Third Proportional to 76,516 and 116,966

Step by Step Solution

1. Step 1: Write the proportion equation
   76,516 : 116,966 = 116,966 : x
2. Step 2: Convert to fraction form
   76,516/116,966 = 116,966/x
3. Step 3: Cross multiply
   76,516x = 116,966 × 116,966
4. Step 4: Simplify right side
   76,516x = 13,681,045,156
5. Step 5: Solve for x
   x = 13,681,045,156/76,516
6. Step 6: Final answer
   x = 178,799.80