Finding the Third Proportional to 340,196 and 713,196

Step by Step Solution

1. Step 1: Write the proportion equation
   340,196 : 713,196 = 713,196 : x
2. Step 2: Convert to fraction form
   340,196/713,196 = 713,196/x
3. Step 3: Cross multiply
   340,196x = 713,196 × 713,196
4. Step 4: Simplify right side
   340,196x = 508,648,534,416
5. Step 5: Solve for x
   x = 508,648,534,416/340,196
6. Step 6: Final answer
   x = 1,495,163.18