Finding the Third Proportional to 175,111.50 and 256,856.25

Step by Step Solution

1. Step 1: Write the proportion equation
   175,111.50 : 256,856.25 = 256,856.25 : x
2. Step 2: Convert to fraction form
   175,111.50/256,856.25 = 256,856.25/x
3. Step 3: Cross multiply
   175,111.50x = 256,856.25 × 256,856.25
4. Step 4: Simplify right side
   175,111.50x = 65,975,133,164.06
5. Step 5: Solve for x
   x = 65,975,133,164.06/175,111.50
6. Step 6: Final answer
   x = 376,760.71