Finding the Third Proportional to 597,460 and 946,506

Step by Step Solution

1. Step 1: Write the proportion equation
   597,460 : 946,506 = 946,506 : x
2. Step 2: Convert to fraction form
   597,460/946,506 = 946,506/x
3. Step 3: Cross multiply
   597,460x = 946,506 × 946,506
4. Step 4: Simplify right side
   597,460x = 895,873,608,036
5. Step 5: Solve for x
   x = 895,873,608,036/597,460
6. Step 6: Final answer
   x = 1,499,470.44