Finding the Third Proportional to 342,114 and 492,804

Step by Step Solution

1. Step 1: Write the proportion equation
   342,114 : 492,804 = 492,804 : x
2. Step 2: Convert to fraction form
   342,114/492,804 = 492,804/x
3. Step 3: Cross multiply
   342,114x = 492,804 × 492,804
4. Step 4: Simplify right side
   342,114x = 242,855,782,416
5. Step 5: Solve for x
   x = 242,855,782,416/342,114
6. Step 6: Final answer
   x = 709,868.00