Finding the Third Proportional to 175,490 and 256,653.50

Step by Step Solution

1. Step 1: Write the proportion equation
   175,490 : 256,653.50 = 256,653.50 : x
2. Step 2: Convert to fraction form
   175,490/256,653.50 = 256,653.50/x
3. Step 3: Cross multiply
   175,490x = 256,653.50 × 256,653.50
4. Step 4: Simplify right side
   175,490x = 65,871,019,062.25
5. Step 5: Solve for x
   x = 65,871,019,062.25/175,490
6. Step 6: Final answer
   x = 375,354.83