Finding the Third Proportional to 506,410 and 1,109,442

Step by Step Solution

1. Step 1: Write the proportion equation
   506,410 : 1,109,442 = 1,109,442 : x
2. Step 2: Convert to fraction form
   506,410/1,109,442 = 1,109,442/x
3. Step 3: Cross multiply
   506,410x = 1,109,442 × 1,109,442
4. Step 4: Simplify right side
   506,410x = 1,230,861,551,364
5. Step 5: Solve for x
   x = 1,230,861,551,364/506,410
6. Step 6: Final answer
   x = 2,430,563.28