Finding the Third Proportional to 119,772 and 186,205.50

Step by Step Solution

1. Step 1: Write the proportion equation
   119,772 : 186,205.50 = 186,205.50 : x
2. Step 2: Convert to fraction form
   119,772/186,205.50 = 186,205.50/x
3. Step 3: Cross multiply
   119,772x = 186,205.50 × 186,205.50
4. Step 4: Simplify right side
   119,772x = 34,672,488,230.25
5. Step 5: Solve for x
   x = 34,672,488,230.25/119,772
6. Step 6: Final answer
   x = 289,487.43