Finding the Third Proportional to 127,834 and 242,546

Step by Step Solution

1. Step 1: Write the proportion equation
   127,834 : 242,546 = 242,546 : x
2. Step 2: Convert to fraction form
   127,834/242,546 = 242,546/x
3. Step 3: Cross multiply
   127,834x = 242,546 × 242,546
4. Step 4: Simplify right side
   127,834x = 58,828,562,116
5. Step 5: Solve for x
   x = 58,828,562,116/127,834
6. Step 6: Final answer
   x = 460,194.96