Finding the Third Proportional to 127,206 and 186,919.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,206 : 186,919.50 = 186,919.50 : x
2. Step 2: Convert to fraction form
   127,206/186,919.50 = 186,919.50/x
3. Step 3: Cross multiply
   127,206x = 186,919.50 × 186,919.50
4. Step 4: Simplify right side
   127,206x = 34,938,899,480.25
5. Step 5: Solve for x
   x = 34,938,899,480.25/127,206
6. Step 6: Final answer
   x = 274,663.93