Finding the Third Proportional to 433,026 and 680,238

Step by Step Solution

1. Step 1: Write the proportion equation
   433,026 : 680,238 = 680,238 : x
2. Step 2: Convert to fraction form
   433,026/680,238 = 680,238/x
3. Step 3: Cross multiply
   433,026x = 680,238 × 680,238
4. Step 4: Simplify right side
   433,026x = 462,723,736,644
5. Step 5: Solve for x
   x = 462,723,736,644/433,026
6. Step 6: Final answer
   x = 1,068,581.88