Finding the Third Proportional to 127,166 and 186,850

Step by Step Solution

1. Step 1: Write the proportion equation
   127,166 : 186,850 = 186,850 : x
2. Step 2: Convert to fraction form
   127,166/186,850 = 186,850/x
3. Step 3: Cross multiply
   127,166x = 186,850 × 186,850
4. Step 4: Simplify right side
   127,166x = 34,912,922,500
5. Step 5: Solve for x
   x = 34,912,922,500/127,166
6. Step 6: Final answer
   x = 274,546.05