Finding the Third Proportional to 456,816 and 696,012

Step by Step Solution

1. Step 1: Write the proportion equation
   456,816 : 696,012 = 696,012 : x
2. Step 2: Convert to fraction form
   456,816/696,012 = 696,012/x
3. Step 3: Cross multiply
   456,816x = 696,012 × 696,012
4. Step 4: Simplify right side
   456,816x = 484,432,704,144
5. Step 5: Solve for x
   x = 484,432,704,144/456,816
6. Step 6: Final answer
   x = 1,060,454.77