Finding the Third Proportional to 309,026 and 478,434

Step by Step Solution

1. Step 1: Write the proportion equation
   309,026 : 478,434 = 478,434 : x
2. Step 2: Convert to fraction form
   309,026/478,434 = 478,434/x
3. Step 3: Cross multiply
   309,026x = 478,434 × 478,434
4. Step 4: Simplify right side
   309,026x = 228,899,092,356
5. Step 5: Solve for x
   x = 228,899,092,356/309,026
6. Step 6: Final answer
   x = 740,711.44