Finding the Third Proportional to 377,308 and 536,442

Step by Step Solution

1. Step 1: Write the proportion equation
   377,308 : 536,442 = 536,442 : x
2. Step 2: Convert to fraction form
   377,308/536,442 = 536,442/x
3. Step 3: Cross multiply
   377,308x = 536,442 × 536,442
4. Step 4: Simplify right side
   377,308x = 287,770,019,364
5. Step 5: Solve for x
   x = 287,770,019,364/377,308
6. Step 6: Final answer
   x = 762,692.60