Finding the Third Proportional to 342,146 and 492,846

Step by Step Solution

1. Step 1: Write the proportion equation
   342,146 : 492,846 = 492,846 : x
2. Step 2: Convert to fraction form
   342,146/492,846 = 492,846/x
3. Step 3: Cross multiply
   342,146x = 492,846 × 492,846
4. Step 4: Simplify right side
   342,146x = 242,897,179,716
5. Step 5: Solve for x
   x = 242,897,179,716/342,146
6. Step 6: Final answer
   x = 709,922.61