Finding the Third Proportional to 147,231 and 233,509.50

Step by Step Solution

1. Step 1: Write the proportion equation
   147,231 : 233,509.50 = 233,509.50 : x
2. Step 2: Convert to fraction form
   147,231/233,509.50 = 233,509.50/x
3. Step 3: Cross multiply
   147,231x = 233,509.50 × 233,509.50
4. Step 4: Simplify right side
   147,231x = 54,526,686,590.25
5. Step 5: Solve for x
   x = 54,526,686,590.25/147,231
6. Step 6: Final answer
   x = 370,347.87