Finding the Third Proportional to 116,398 and 185,972

Step by Step Solution

1. Step 1: Write the proportion equation
   116,398 : 185,972 = 185,972 : x
2. Step 2: Convert to fraction form
   116,398/185,972 = 185,972/x
3. Step 3: Cross multiply
   116,398x = 185,972 × 185,972
4. Step 4: Simplify right side
   116,398x = 34,585,584,784
5. Step 5: Solve for x
   x = 34,585,584,784/116,398
6. Step 6: Final answer
   x = 297,132.12