Finding the Third Proportional to 433,200 and 646,208

Step by Step Solution

1. Step 1: Write the proportion equation
   433,200 : 646,208 = 646,208 : x
2. Step 2: Convert to fraction form
   433,200/646,208 = 646,208/x
3. Step 3: Cross multiply
   433,200x = 646,208 × 646,208
4. Step 4: Simplify right side
   433,200x = 417,584,779,264
5. Step 5: Solve for x
   x = 417,584,779,264/433,200
6. Step 6: Final answer
   x = 963,953.78