Finding the Third Proportional to 119,945.81 and 256,499.16

Step by Step Solution

1. Step 1: Write the proportion equation
   119,945.81 : 256,499.16 = 256,499.16 : x
2. Step 2: Convert to fraction form
   119,945.81/256,499.16 = 256,499.16/x
3. Step 3: Cross multiply
   119,945.81x = 256,499.16 × 256,499.16
4. Step 4: Simplify right side
   119,945.81x = 65,791,817,156.96
5. Step 5: Solve for x
   x = 65,791,817,156.96/119,945.81
6. Step 6: Final answer
   x = 548,512.83