Finding the Third Proportional to 185,202 and 276,583.50

Step by Step Solution

1. Step 1: Write the proportion equation
   185,202 : 276,583.50 = 276,583.50 : x
2. Step 2: Convert to fraction form
   185,202/276,583.50 = 276,583.50/x
3. Step 3: Cross multiply
   185,202x = 276,583.50 × 276,583.50
4. Step 4: Simplify right side
   185,202x = 76,498,432,472.25
5. Step 5: Solve for x
   x = 76,498,432,472.25/185,202
6. Step 6: Final answer
   x = 413,054.03