Finding the Third Proportional to 184,425 and 284,827.50

Step by Step Solution

1. Step 1: Write the proportion equation
   184,425 : 284,827.50 = 284,827.50 : x
2. Step 2: Convert to fraction form
   184,425/284,827.50 = 284,827.50/x
3. Step 3: Cross multiply
   184,425x = 284,827.50 × 284,827.50
4. Step 4: Simplify right side
   184,425x = 81,126,704,756.25
5. Step 5: Solve for x
   x = 81,126,704,756.25/184,425
6. Step 6: Final answer
   x = 439,889.95