Finding the Third Proportional to 122,566.50 and 257,526

Step by Step Solution

1. Step 1: Write the proportion equation
   122,566.50 : 257,526 = 257,526 : x
2. Step 2: Convert to fraction form
   122,566.50/257,526 = 257,526/x
3. Step 3: Cross multiply
   122,566.50x = 257,526 × 257,526
4. Step 4: Simplify right side
   122,566.50x = 66,319,640,676
5. Step 5: Solve for x
   x = 66,319,640,676/122,566.50
6. Step 6: Final answer
   x = 541,091.09