Finding the Third Proportional to 119,462.50 and 256,632

Step by Step Solution

1. Step 1: Write the proportion equation
   119,462.50 : 256,632 = 256,632 : x
2. Step 2: Convert to fraction form
   119,462.50/256,632 = 256,632/x
3. Step 3: Cross multiply
   119,462.50x = 256,632 × 256,632
4. Step 4: Simplify right side
   119,462.50x = 65,859,983,424
5. Step 5: Solve for x
   x = 65,859,983,424/119,462.50
6. Step 6: Final answer
   x = 551,302.57