Finding the Third Proportional to 178,092 and 276,751.50

Step by Step Solution

1. Step 1: Write the proportion equation
   178,092 : 276,751.50 = 276,751.50 : x
2. Step 2: Convert to fraction form
   178,092/276,751.50 = 276,751.50/x
3. Step 3: Cross multiply
   178,092x = 276,751.50 × 276,751.50
4. Step 4: Simplify right side
   178,092x = 76,591,392,752.25
5. Step 5: Solve for x
   x = 76,591,392,752.25/178,092
6. Step 6: Final answer
   x = 430,066.44