Finding the Third Proportional to 230,078 and 492,142

Step by Step Solution

1. Step 1: Write the proportion equation
   230,078 : 492,142 = 492,142 : x
2. Step 2: Convert to fraction form
   230,078/492,142 = 492,142/x
3. Step 3: Cross multiply
   230,078x = 492,142 × 492,142
4. Step 4: Simplify right side
   230,078x = 242,203,748,164
5. Step 5: Solve for x
   x = 242,203,748,164/230,078
6. Step 6: Final answer
   x = 1,052,702.77