Finding the Third Proportional to 368,596 and 556,275.50

Step by Step Solution

1. Step 1: Write the proportion equation
   368,596 : 556,275.50 = 556,275.50 : x
2. Step 2: Convert to fraction form
   368,596/556,275.50 = 556,275.50/x
3. Step 3: Cross multiply
   368,596x = 556,275.50 × 556,275.50
4. Step 4: Simplify right side
   368,596x = 309,442,431,900.25
5. Step 5: Solve for x
   x = 309,442,431,900.25/368,596
6. Step 6: Final answer
   x = 839,516.52