Finding the Third Proportional to 91,534 and 213,850

Step by Step Solution

1. Step 1: Write the proportion equation
   91,534 : 213,850 = 213,850 : x
2. Step 2: Convert to fraction form
   91,534/213,850 = 213,850/x
3. Step 3: Cross multiply
   91,534x = 213,850 × 213,850
4. Step 4: Simplify right side
   91,534x = 45,731,822,500
5. Step 5: Solve for x
   x = 45,731,822,500/91,534
6. Step 6: Final answer
   x = 499,615.69