Finding the Third Proportional to 184,565 and 289,149.50

Step by Step Solution

1. Step 1: Write the proportion equation
   184,565 : 289,149.50 = 289,149.50 : x
2. Step 2: Convert to fraction form
   184,565/289,149.50 = 289,149.50/x
3. Step 3: Cross multiply
   184,565x = 289,149.50 × 289,149.50
4. Step 4: Simplify right side
   184,565x = 83,607,433,350.25
5. Step 5: Solve for x
   x = 83,607,433,350.25/184,565
6. Step 6: Final answer
   x = 452,997.23