Finding the Third Proportional to 99,748.50 and 213,321

Step by Step Solution

1. Step 1: Write the proportion equation
   99,748.50 : 213,321 = 213,321 : x
2. Step 2: Convert to fraction form
   99,748.50/213,321 = 213,321/x
3. Step 3: Cross multiply
   99,748.50x = 213,321 × 213,321
4. Step 4: Simplify right side
   99,748.50x = 45,505,849,041
5. Step 5: Solve for x
   x = 45,505,849,041/99,748.50
6. Step 6: Final answer
   x = 456,205.85