Finding the Third Proportional to 136,538 and 283,978

Step by Step Solution

1. Step 1: Write the proportion equation
   136,538 : 283,978 = 283,978 : x
2. Step 2: Convert to fraction form
   136,538/283,978 = 283,978/x
3. Step 3: Cross multiply
   136,538x = 283,978 × 283,978
4. Step 4: Simplify right side
   136,538x = 80,643,504,484
5. Step 5: Solve for x
   x = 80,643,504,484/136,538
6. Step 6: Final answer
   x = 590,630.48