Finding the Third Proportional to 456,624 and 945,072

Step by Step Solution

1. Step 1: Write the proportion equation
   456,624 : 945,072 = 945,072 : x
2. Step 2: Convert to fraction form
   456,624/945,072 = 945,072/x
3. Step 3: Cross multiply
   456,624x = 945,072 × 945,072
4. Step 4: Simplify right side
   456,624x = 893,161,085,184
5. Step 5: Solve for x
   x = 893,161,085,184/456,624
6. Step 6: Final answer
   x = 1,956,009.95