Finding the Third Proportional to 257,814 and 553,711.50

Step by Step Solution

1. Step 1: Write the proportion equation
   257,814 : 553,711.50 = 553,711.50 : x
2. Step 2: Convert to fraction form
   257,814/553,711.50 = 553,711.50/x
3. Step 3: Cross multiply
   257,814x = 553,711.50 × 553,711.50
4. Step 4: Simplify right side
   257,814x = 306,596,425,232.25
5. Step 5: Solve for x
   x = 306,596,425,232.25/257,814
6. Step 6: Final answer
   x = 1,189,215.58