Finding the Third Proportional to 456,196 and 666,438

Step by Step Solution

1. Step 1: Write the proportion equation
   456,196 : 666,438 = 666,438 : x
2. Step 2: Convert to fraction form
   456,196/666,438 = 666,438/x
3. Step 3: Cross multiply
   456,196x = 666,438 × 666,438
4. Step 4: Simplify right side
   456,196x = 444,139,607,844
5. Step 5: Solve for x
   x = 444,139,607,844/456,196
6. Step 6: Final answer
   x = 973,571.90