Finding the Third Proportional to 119,596.50 and 251,586

Step by Step Solution

1. Step 1: Write the proportion equation
   119,596.50 : 251,586 = 251,586 : x
2. Step 2: Convert to fraction form
   119,596.50/251,586 = 251,586/x
3. Step 3: Cross multiply
   119,596.50x = 251,586 × 251,586
4. Step 4: Simplify right side
   119,596.50x = 63,295,515,396
5. Step 5: Solve for x
   x = 63,295,515,396/119,596.50
6. Step 6: Final answer
   x = 529,242.21