Finding the Third Proportional to 234,978 and 357,984

Step by Step Solution

1. Step 1: Write the proportion equation
   234,978 : 357,984 = 357,984 : x
2. Step 2: Convert to fraction form
   234,978/357,984 = 357,984/x
3. Step 3: Cross multiply
   234,978x = 357,984 × 357,984
4. Step 4: Simplify right side
   234,978x = 128,152,544,256
5. Step 5: Solve for x
   x = 128,152,544,256/234,978
6. Step 6: Final answer
   x = 545,381.03