Finding the Third Proportional to 262,089 and 392,722.50

Step by Step Solution

1. Step 1: Write the proportion equation
   262,089 : 392,722.50 = 392,722.50 : x
2. Step 2: Convert to fraction form
   262,089/392,722.50 = 392,722.50/x
3. Step 3: Cross multiply
   262,089x = 392,722.50 × 392,722.50
4. Step 4: Simplify right side
   262,089x = 154,230,962,006.25
5. Step 5: Solve for x
   x = 154,230,962,006.25/262,089
6. Step 6: Final answer
   x = 588,467.89