Finding the Third Proportional to 175,105 and 256,513.50

Step by Step Solution

1. Step 1: Write the proportion equation
   175,105 : 256,513.50 = 256,513.50 : x
2. Step 2: Convert to fraction form
   175,105/256,513.50 = 256,513.50/x
3. Step 3: Cross multiply
   175,105x = 256,513.50 × 256,513.50
4. Step 4: Simplify right side
   175,105x = 65,799,175,682.25
5. Step 5: Solve for x
   x = 65,799,175,682.25/175,105
6. Step 6: Final answer
   x = 375,769.83