Finding the Third Proportional to 185,206 and 276,589.50

Step by Step Solution

1. Step 1: Write the proportion equation
   185,206 : 276,589.50 = 276,589.50 : x
2. Step 2: Convert to fraction form
   185,206/276,589.50 = 276,589.50/x
3. Step 3: Cross multiply
   185,206x = 276,589.50 × 276,589.50
4. Step 4: Simplify right side
   185,206x = 76,501,751,510.25
5. Step 5: Solve for x
   x = 76,501,751,510.25/185,206
6. Step 6: Final answer
   x = 413,063.03