Finding the Third Proportional to 594,789 and 906,146

Step by Step Solution

1. Step 1: Write the proportion equation
   594,789 : 906,146 = 906,146 : x
2. Step 2: Convert to fraction form
   594,789/906,146 = 906,146/x
3. Step 3: Cross multiply
   594,789x = 906,146 × 906,146
4. Step 4: Simplify right side
   594,789x = 821,100,573,316
5. Step 5: Solve for x
   x = 821,100,573,316/594,789
6. Step 6: Final answer
   x = 1,380,490.52