Finding the Third Proportional to 119,433 and 183,295.50

Step by Step Solution

1. Step 1: Write the proportion equation
   119,433 : 183,295.50 = 183,295.50 : x
2. Step 2: Convert to fraction form
   119,433/183,295.50 = 183,295.50/x
3. Step 3: Cross multiply
   119,433x = 183,295.50 × 183,295.50
4. Step 4: Simplify right side
   119,433x = 33,597,240,320.25
5. Step 5: Solve for x
   x = 33,597,240,320.25/119,433
6. Step 6: Final answer
   x = 281,306.17