Finding the Third Proportional to 142,607.50 and 213,466.50

Step by Step Solution

1. Step 1: Write the proportion equation
   142,607.50 : 213,466.50 = 213,466.50 : x
2. Step 2: Convert to fraction form
   142,607.50/213,466.50 = 213,466.50/x
3. Step 3: Cross multiply
   142,607.50x = 213,466.50 × 213,466.50
4. Step 4: Simplify right side
   142,607.50x = 45,567,946,622.25
5. Step 5: Solve for x
   x = 45,567,946,622.25/142,607.50
6. Step 6: Final answer
   x = 319,534.01