Finding the Third Proportional to 256,915.50 and 541,528.50

Step by Step Solution

1. Step 1: Write the proportion equation
   256,915.50 : 541,528.50 = 541,528.50 : x
2. Step 2: Convert to fraction form
   256,915.50/541,528.50 = 541,528.50/x
3. Step 3: Cross multiply
   256,915.50x = 541,528.50 × 541,528.50
4. Step 4: Simplify right side
   256,915.50x = 293,253,116,312.25
5. Step 5: Solve for x
   x = 293,253,116,312.25/256,915.50
6. Step 6: Final answer
   x = 1,141,438.01