Finding the Third Proportional to 256,722 and 572,472.75

Step by Step Solution

1. Step 1: Write the proportion equation
   256,722 : 572,472.75 = 572,472.75 : x
2. Step 2: Convert to fraction form
   256,722/572,472.75 = 572,472.75/x
3. Step 3: Cross multiply
   256,722x = 572,472.75 × 572,472.75
4. Step 4: Simplify right side
   256,722x = 327,725,049,492.56
5. Step 5: Solve for x
   x = 327,725,049,492.56/256,722
6. Step 6: Final answer
   x = 1,276,575.63