Finding the Third Proportional to 359,914 and 772,196

Step by Step Solution

1. Step 1: Write the proportion equation
   359,914 : 772,196 = 772,196 : x
2. Step 2: Convert to fraction form
   359,914/772,196 = 772,196/x
3. Step 3: Cross multiply
   359,914x = 772,196 × 772,196
4. Step 4: Simplify right side
   359,914x = 596,286,662,416
5. Step 5: Solve for x
   x = 596,286,662,416/359,914
6. Step 6: Final answer
   x = 1,656,747.62