Finding the Third Proportional to 243,644 and 374,978

Step by Step Solution

1. Step 1: Write the proportion equation
   243,644 : 374,978 = 374,978 : x
2. Step 2: Convert to fraction form
   243,644/374,978 = 374,978/x
3. Step 3: Cross multiply
   243,644x = 374,978 × 374,978
4. Step 4: Simplify right side
   243,644x = 140,608,500,484
5. Step 5: Solve for x
   x = 140,608,500,484/243,644
6. Step 6: Final answer
   x = 577,106.35