Finding the Third Proportional to 256,495 and 383,307.50

Step by Step Solution

1. Step 1: Write the proportion equation
   256,495 : 383,307.50 = 383,307.50 : x
2. Step 2: Convert to fraction form
   256,495/383,307.50 = 383,307.50/x
3. Step 3: Cross multiply
   256,495x = 383,307.50 × 383,307.50
4. Step 4: Simplify right side
   256,495x = 146,924,639,556.25
5. Step 5: Solve for x
   x = 146,924,639,556.25/256,495
6. Step 6: Final answer
   x = 572,816.78