Finding the Third Proportional to 383,721 and 536,740.50

Step by Step Solution

1. Step 1: Write the proportion equation
   383,721 : 536,740.50 = 536,740.50 : x
2. Step 2: Convert to fraction form
   383,721/536,740.50 = 536,740.50/x
3. Step 3: Cross multiply
   383,721x = 536,740.50 × 536,740.50
4. Step 4: Simplify right side
   383,721x = 288,090,364,340.25
5. Step 5: Solve for x
   x = 288,090,364,340.25/383,721
6. Step 6: Final answer
   x = 750,780.81