Finding the Third Proportional to 266,364 and 585,215.50

Step by Step Solution

1. Step 1: Write the proportion equation
   266,364 : 585,215.50 = 585,215.50 : x
2. Step 2: Convert to fraction form
   266,364/585,215.50 = 585,215.50/x
3. Step 3: Cross multiply
   266,364x = 585,215.50 × 585,215.50
4. Step 4: Simplify right side
   266,364x = 342,477,181,440.25
5. Step 5: Solve for x
   x = 342,477,181,440.25/266,364
6. Step 6: Final answer
   x = 1,285,748.76