Finding the Third Proportional to 188,682.50 and 256,383

Step by Step Solution

1. Step 1: Write the proportion equation
   188,682.50 : 256,383 = 256,383 : x
2. Step 2: Convert to fraction form
   188,682.50/256,383 = 256,383/x
3. Step 3: Cross multiply
   188,682.50x = 256,383 × 256,383
4. Step 4: Simplify right side
   188,682.50x = 65,732,242,689
5. Step 5: Solve for x
   x = 65,732,242,689/188,682.50
6. Step 6: Final answer
   x = 348,374.88