Finding the Third Proportional to 175,503 and 256,672.50

Step by Step Solution

1. Step 1: Write the proportion equation
   175,503 : 256,672.50 = 256,672.50 : x
2. Step 2: Convert to fraction form
   175,503/256,672.50 = 256,672.50/x
3. Step 3: Cross multiply
   175,503x = 256,672.50 × 256,672.50
4. Step 4: Simplify right side
   175,503x = 65,880,772,256.25
5. Step 5: Solve for x
   x = 65,880,772,256.25/175,503
6. Step 6: Final answer
   x = 375,382.60