Finding the Third Proportional to 256,527 and 556,855.50

Step by Step Solution

1. Step 1: Write the proportion equation
   256,527 : 556,855.50 = 556,855.50 : x
2. Step 2: Convert to fraction form
   256,527/556,855.50 = 556,855.50/x
3. Step 3: Cross multiply
   256,527x = 556,855.50 × 556,855.50
4. Step 4: Simplify right side
   256,527x = 310,088,047,880.25
5. Step 5: Solve for x
   x = 310,088,047,880.25/256,527
6. Step 6: Final answer
   x = 1,208,793.02