Finding the Third Proportional to 184,779 and 257,443.50

Step by Step Solution

1. Step 1: Write the proportion equation
   184,779 : 257,443.50 = 257,443.50 : x
2. Step 2: Convert to fraction form
   184,779/257,443.50 = 257,443.50/x
3. Step 3: Cross multiply
   184,779x = 257,443.50 × 257,443.50
4. Step 4: Simplify right side
   184,779x = 66,277,155,692.25
5. Step 5: Solve for x
   x = 66,277,155,692.25/184,779
6. Step 6: Final answer
   x = 358,683.38