Finding the Third Proportional to 462,815 and 699,156

Step by Step Solution

1. Step 1: Write the proportion equation
   462,815 : 699,156 = 699,156 : x
2. Step 2: Convert to fraction form
   462,815/699,156 = 699,156/x
3. Step 3: Cross multiply
   462,815x = 699,156 × 699,156
4. Step 4: Simplify right side
   462,815x = 488,819,112,336
5. Step 5: Solve for x
   x = 488,819,112,336/462,815
6. Step 6: Final answer
   x = 1,056,186.84