Finding the Third Proportional to 97,443 and 213,111

Step by Step Solution

1. Step 1: Write the proportion equation
   97,443 : 213,111 = 213,111 : x
2. Step 2: Convert to fraction form
   97,443/213,111 = 213,111/x
3. Step 3: Cross multiply
   97,443x = 213,111 × 213,111
4. Step 4: Simplify right side
   97,443x = 45,416,298,321
5. Step 5: Solve for x
   x = 45,416,298,321/97,443
6. Step 6: Final answer
   x = 466,080.67