Finding the Third Proportional to 213,064 and 463,696

Step by Step Solution

1. Step 1: Write the proportion equation
   213,064 : 463,696 = 463,696 : x
2. Step 2: Convert to fraction form
   213,064/463,696 = 463,696/x
3. Step 3: Cross multiply
   213,064x = 463,696 × 463,696
4. Step 4: Simplify right side
   213,064x = 215,013,980,416
5. Step 5: Solve for x
   x = 215,013,980,416/213,064
6. Step 6: Final answer
   x = 1,009,152.09