Finding the Third Proportional to 178,404 and 276,832.50

Step by Step Solution

1. Step 1: Write the proportion equation
   178,404 : 276,832.50 = 276,832.50 : x
2. Step 2: Convert to fraction form
   178,404/276,832.50 = 276,832.50/x
3. Step 3: Cross multiply
   178,404x = 276,832.50 × 276,832.50
4. Step 4: Simplify right side
   178,404x = 76,636,233,056.25
5. Step 5: Solve for x
   x = 76,636,233,056.25/178,404
6. Step 6: Final answer
   x = 429,565.67