Finding the Third Proportional to 212,624 and 342,589.50

Step by Step Solution

1. Step 1: Write the proportion equation
   212,624 : 342,589.50 = 342,589.50 : x
2. Step 2: Convert to fraction form
   212,624/342,589.50 = 342,589.50/x
3. Step 3: Cross multiply
   212,624x = 342,589.50 × 342,589.50
4. Step 4: Simplify right side
   212,624x = 117,367,565,510.25
5. Step 5: Solve for x
   x = 117,367,565,510.25/212,624
6. Step 6: Final answer
   x = 551,995.85