Finding the Third Proportional to 122,742 and 264,802.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,742 : 264,802.50 = 264,802.50 : x
2. Step 2: Convert to fraction form
   122,742/264,802.50 = 264,802.50/x
3. Step 3: Cross multiply
   122,742x = 264,802.50 × 264,802.50
4. Step 4: Simplify right side
   122,742x = 70,120,364,006.25
5. Step 5: Solve for x
   x = 70,120,364,006.25/122,742
6. Step 6: Final answer
   x = 571,282.56