Finding the Third Proportional to 407,172 and 615,222

Step by Step Solution

1. Step 1: Write the proportion equation
   407,172 : 615,222 = 615,222 : x
2. Step 2: Convert to fraction form
   407,172/615,222 = 615,222/x
3. Step 3: Cross multiply
   407,172x = 615,222 × 615,222
4. Step 4: Simplify right side
   407,172x = 378,498,109,284
5. Step 5: Solve for x
   x = 378,498,109,284/407,172
6. Step 6: Final answer
   x = 929,577.94