Finding the Third Proportional to 254,307 and 384,733.50

Step by Step Solution

1. Step 1: Write the proportion equation
   254,307 : 384,733.50 = 384,733.50 : x
2. Step 2: Convert to fraction form
   254,307/384,733.50 = 384,733.50/x
3. Step 3: Cross multiply
   254,307x = 384,733.50 × 384,733.50
4. Step 4: Simplify right side
   254,307x = 148,019,866,022.25
5. Step 5: Solve for x
   x = 148,019,866,022.25/254,307
6. Step 6: Final answer
   x = 582,051.87