Finding the Third Proportional to 142,606.50 and 213,465

Step by Step Solution

1. Step 1: Write the proportion equation
   142,606.50 : 213,465 = 213,465 : x
2. Step 2: Convert to fraction form
   142,606.50/213,465 = 213,465/x
3. Step 3: Cross multiply
   142,606.50x = 213,465 × 213,465
4. Step 4: Simplify right side
   142,606.50x = 45,567,306,225
5. Step 5: Solve for x
   x = 45,567,306,225/142,606.50
6. Step 6: Final answer
   x = 319,531.76