Finding the Third Proportional to 175,333.50 and 256,437

Step by Step Solution

1. Step 1: Write the proportion equation
   175,333.50 : 256,437 = 256,437 : x
2. Step 2: Convert to fraction form
   175,333.50/256,437 = 256,437/x
3. Step 3: Cross multiply
   175,333.50x = 256,437 × 256,437
4. Step 4: Simplify right side
   175,333.50x = 65,759,934,969
5. Step 5: Solve for x
   x = 65,759,934,969/175,333.50
6. Step 6: Final answer
   x = 375,056.31