Finding the Third Proportional to 342,589.50 and 462,145.50

Step by Step Solution

1. Step 1: Write the proportion equation
   342,589.50 : 462,145.50 = 462,145.50 : x
2. Step 2: Convert to fraction form
   342,589.50/462,145.50 = 462,145.50/x
3. Step 3: Cross multiply
   342,589.50x = 462,145.50 × 462,145.50
4. Step 4: Simplify right side
   342,589.50x = 213,578,463,170.25
5. Step 5: Solve for x
   x = 213,578,463,170.25/342,589.50
6. Step 6: Final answer
   x = 623,423.84