Finding the Third Proportional to 122,152 and 262,772

Step by Step Solution

1. Step 1: Write the proportion equation
   122,152 : 262,772 = 262,772 : x
2. Step 2: Convert to fraction form
   122,152/262,772 = 262,772/x
3. Step 3: Cross multiply
   122,152x = 262,772 × 262,772
4. Step 4: Simplify right side
   122,152x = 69,049,123,984
5. Step 5: Solve for x
   x = 69,049,123,984/122,152
6. Step 6: Final answer
   x = 565,272.15