Finding the Third Proportional to 127,161 and 186,844.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,161 : 186,844.50 = 186,844.50 : x
2. Step 2: Convert to fraction form
   127,161/186,844.50 = 186,844.50/x
3. Step 3: Cross multiply
   127,161x = 186,844.50 × 186,844.50
4. Step 4: Simplify right side
   127,161x = 34,910,867,180.25
5. Step 5: Solve for x
   x = 34,910,867,180.25/127,161
6. Step 6: Final answer
   x = 274,540.68