Finding the Third Proportional to 382,955 and 536,640.50

Step by Step Solution

1. Step 1: Write the proportion equation
   382,955 : 536,640.50 = 536,640.50 : x
2. Step 2: Convert to fraction form
   382,955/536,640.50 = 536,640.50/x
3. Step 3: Cross multiply
   382,955x = 536,640.50 × 536,640.50
4. Step 4: Simplify right side
   382,955x = 287,983,026,240.25
5. Step 5: Solve for x
   x = 287,983,026,240.25/382,955
6. Step 6: Final answer
   x = 752,002.26