Finding the Third Proportional to 280,077 and 430,498.50

Step by Step Solution

1. Step 1: Write the proportion equation
   280,077 : 430,498.50 = 430,498.50 : x
2. Step 2: Convert to fraction form
   280,077/430,498.50 = 430,498.50/x
3. Step 3: Cross multiply
   280,077x = 430,498.50 × 430,498.50
4. Step 4: Simplify right side
   280,077x = 185,328,958,502.25
5. Step 5: Solve for x
   x = 185,328,958,502.25/280,077
6. Step 6: Final answer
   x = 661,707.17