Finding the Third Proportional to 99,742.50 and 213,309

Step by Step Solution

1. Step 1: Write the proportion equation
   99,742.50 : 213,309 = 213,309 : x
2. Step 2: Convert to fraction form
   99,742.50/213,309 = 213,309/x
3. Step 3: Cross multiply
   99,742.50x = 213,309 × 213,309
4. Step 4: Simplify right side
   99,742.50x = 45,500,729,481
5. Step 5: Solve for x
   x = 45,500,729,481/99,742.50
6. Step 6: Final answer
   x = 456,181.96