Finding the Third Proportional to 178,388 and 276,808.50

Step by Step Solution

1. Step 1: Write the proportion equation
   178,388 : 276,808.50 = 276,808.50 : x
2. Step 2: Convert to fraction form
   178,388/276,808.50 = 276,808.50/x
3. Step 3: Cross multiply
   178,388x = 276,808.50 × 276,808.50
4. Step 4: Simplify right side
   178,388x = 76,622,945,672.25
5. Step 5: Solve for x
   x = 76,622,945,672.25/178,388
6. Step 6: Final answer
   x = 429,529.71