Finding the Third Proportional to 1,114,264 and 1,697,516

Step by Step Solution

1. Step 1: Write the proportion equation
   1,114,264 : 1,697,516 = 1,697,516 : x
2. Step 2: Convert to fraction form
   1,114,264/1,697,516 = 1,697,516/x
3. Step 3: Cross multiply
   1,114,264x = 1,697,516 × 1,697,516
4. Step 4: Simplify right side
   1,114,264x = 2,881,560,570,256
5. Step 5: Solve for x
   x = 2,881,560,570,256/1,114,264
6. Step 6: Final answer
   x = 2,586,066.29