Finding the Third Proportional to 1,077,680 and 1,569,135

Step by Step Solution

1. Step 1: Write the proportion equation
   1,077,680 : 1,569,135 = 1,569,135 : x
2. Step 2: Convert to fraction form
   1,077,680/1,569,135 = 1,569,135/x
3. Step 3: Cross multiply
   1,077,680x = 1,569,135 × 1,569,135
4. Step 4: Simplify right side
   1,077,680x = 2,462,184,648,225
5. Step 5: Solve for x
   x = 2,462,184,648,225/1,077,680
6. Step 6: Final answer
   x = 2,284,708.49