Finding the Third Proportional to 233,769 and 333,139.50

Step by Step Solution

1. Step 1: Write the proportion equation
   233,769 : 333,139.50 = 333,139.50 : x
2. Step 2: Convert to fraction form
   233,769/333,139.50 = 333,139.50/x
3. Step 3: Cross multiply
   233,769x = 333,139.50 × 333,139.50
4. Step 4: Simplify right side
   233,769x = 110,981,926,460.25
5. Step 5: Solve for x
   x = 110,981,926,460.25/233,769
6. Step 6: Final answer
   x = 474,750.40