Finding the Third Proportional to 132,970.50 and 288,094.50

Step by Step Solution

1. Step 1: Write the proportion equation
   132,970.50 : 288,094.50 = 288,094.50 : x
2. Step 2: Convert to fraction form
   132,970.50/288,094.50 = 288,094.50/x
3. Step 3: Cross multiply
   132,970.50x = 288,094.50 × 288,094.50
4. Step 4: Simplify right side
   132,970.50x = 82,998,440,930.25
5. Step 5: Solve for x
   x = 82,998,440,930.25/132,970.50
6. Step 6: Final answer
   x = 624,186.88