Finding the Third Proportional to 103,846 and 243,144

Step by Step Solution

1. Step 1: Write the proportion equation
   103,846 : 243,144 = 243,144 : x
2. Step 2: Convert to fraction form
   103,846/243,144 = 243,144/x
3. Step 3: Cross multiply
   103,846x = 243,144 × 243,144
4. Step 4: Simplify right side
   103,846x = 59,119,004,736
5. Step 5: Solve for x
   x = 59,119,004,736/103,846
6. Step 6: Final answer
   x = 569,294.96