Finding the Third Proportional to 116,648 and 180,966

Step by Step Solution

1. Step 1: Write the proportion equation
   116,648 : 180,966 = 180,966 : x
2. Step 2: Convert to fraction form
   116,648/180,966 = 180,966/x
3. Step 3: Cross multiply
   116,648x = 180,966 × 180,966
4. Step 4: Simplify right side
   116,648x = 32,748,693,156
5. Step 5: Solve for x
   x = 32,748,693,156/116,648
6. Step 6: Final answer
   x = 280,748.00