Finding the Third Proportional to 136,558 and 284,016

Step by Step Solution

1. Step 1: Write the proportion equation
   136,558 : 284,016 = 284,016 : x
2. Step 2: Convert to fraction form
   136,558/284,016 = 284,016/x
3. Step 3: Cross multiply
   136,558x = 284,016 × 284,016
4. Step 4: Simplify right side
   136,558x = 80,665,088,256
5. Step 5: Solve for x
   x = 80,665,088,256/136,558
6. Step 6: Final answer
   x = 590,702.03