Finding the Third Proportional to 72,889.50 and 119,022.50

Step by Step Solution

1. Step 1: Write the proportion equation
   72,889.50 : 119,022.50 = 119,022.50 : x
2. Step 2: Convert to fraction form
   72,889.50/119,022.50 = 119,022.50/x
3. Step 3: Cross multiply
   72,889.50x = 119,022.50 × 119,022.50
4. Step 4: Simplify right side
   72,889.50x = 14,166,355,506.25
5. Step 5: Solve for x
   x = 14,166,355,506.25/72,889.50
6. Step 6: Final answer
   x = 194,353.86