Finding the Third Proportional to 830,169 and 1,215,648

Step by Step Solution

1. Step 1: Write the proportion equation
   830,169 : 1,215,648 = 1,215,648 : x
2. Step 2: Convert to fraction form
   830,169/1,215,648 = 1,215,648/x
3. Step 3: Cross multiply
   830,169x = 1,215,648 × 1,215,648
4. Step 4: Simplify right side
   830,169x = 1,477,800,059,904
5. Step 5: Solve for x
   x = 1,477,800,059,904/830,169
6. Step 6: Final answer
   x = 1,780,119.54