Finding the Third Proportional to 123,627 and 186,016.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,627 : 186,016.50 = 186,016.50 : x
2. Step 2: Convert to fraction form
   123,627/186,016.50 = 186,016.50/x
3. Step 3: Cross multiply
   123,627x = 186,016.50 × 186,016.50
4. Step 4: Simplify right side
   123,627x = 34,602,138,272.25
5. Step 5: Solve for x
   x = 34,602,138,272.25/123,627
6. Step 6: Final answer
   x = 279,891.43