Finding the Third Proportional to 132,971.50 and 288,096.50

Step by Step Solution

1. Step 1: Write the proportion equation
   132,971.50 : 288,096.50 = 288,096.50 : x
2. Step 2: Convert to fraction form
   132,971.50/288,096.50 = 288,096.50/x
3. Step 3: Cross multiply
   132,971.50x = 288,096.50 × 288,096.50
4. Step 4: Simplify right side
   132,971.50x = 82,999,593,312.25
5. Step 5: Solve for x
   x = 82,999,593,312.25/132,971.50
6. Step 6: Final answer
   x = 624,190.85