Finding the Third Proportional to 123,369.75 and 256,432.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,369.75 : 256,432.50 = 256,432.50 : x
2. Step 2: Convert to fraction form
   123,369.75/256,432.50 = 256,432.50/x
3. Step 3: Cross multiply
   123,369.75x = 256,432.50 × 256,432.50
4. Step 4: Simplify right side
   123,369.75x = 65,757,627,056.25
5. Step 5: Solve for x
   x = 65,757,627,056.25/123,369.75
6. Step 6: Final answer
   x = 533,012.57