Finding the Third Proportional to 175,077 and 256,405.50

Step by Step Solution

1. Step 1: Write the proportion equation
   175,077 : 256,405.50 = 256,405.50 : x
2. Step 2: Convert to fraction form
   175,077/256,405.50 = 256,405.50/x
3. Step 3: Cross multiply
   175,077x = 256,405.50 × 256,405.50
4. Step 4: Simplify right side
   175,077x = 65,743,780,430.25
5. Step 5: Solve for x
   x = 65,743,780,430.25/175,077
6. Step 6: Final answer
   x = 375,513.52