Finding the Third Proportional to 585,002 and 1,265,953

Step by Step Solution

1. Step 1: Write the proportion equation
   585,002 : 1,265,953 = 1,265,953 : x
2. Step 2: Convert to fraction form
   585,002/1,265,953 = 1,265,953/x
3. Step 3: Cross multiply
   585,002x = 1,265,953 × 1,265,953
4. Step 4: Simplify right side
   585,002x = 1,602,636,998,209
5. Step 5: Solve for x
   x = 1,602,636,998,209/585,002
6. Step 6: Final answer
   x = 2,739,541.06