Finding the Third Proportional to 184,464 and 280,523.25

Step by Step Solution

1. Step 1: Write the proportion equation
   184,464 : 280,523.25 = 280,523.25 : x
2. Step 2: Convert to fraction form
   184,464/280,523.25 = 280,523.25/x
3. Step 3: Cross multiply
   184,464x = 280,523.25 × 280,523.25
4. Step 4: Simplify right side
   184,464x = 78,693,293,790.56
5. Step 5: Solve for x
   x = 78,693,293,790.56/184,464
6. Step 6: Final answer
   x = 426,605.16