Finding the Third Proportional to 342,123 and 492,814.50

Step by Step Solution

1. Step 1: Write the proportion equation
   342,123 : 492,814.50 = 492,814.50 : x
2. Step 2: Convert to fraction form
   342,123/492,814.50 = 492,814.50/x
3. Step 3: Cross multiply
   342,123x = 492,814.50 × 492,814.50
4. Step 4: Simplify right side
   342,123x = 242,866,131,410.25
5. Step 5: Solve for x
   x = 242,866,131,410.25/342,123
6. Step 6: Final answer
   x = 709,879.58