Finding the Third Proportional to 116,394 and 185,966

Step by Step Solution

1. Step 1: Write the proportion equation
   116,394 : 185,966 = 185,966 : x
2. Step 2: Convert to fraction form
   116,394/185,966 = 185,966/x
3. Step 3: Cross multiply
   116,394x = 185,966 × 185,966
4. Step 4: Simplify right side
   116,394x = 34,583,353,156
5. Step 5: Solve for x
   x = 34,583,353,156/116,394
6. Step 6: Final answer
   x = 297,123.16