Finding the Third Proportional to 145,569 and 231,475.50

Step by Step Solution

1. Step 1: Write the proportion equation
   145,569 : 231,475.50 = 231,475.50 : x
2. Step 2: Convert to fraction form
   145,569/231,475.50 = 231,475.50/x
3. Step 3: Cross multiply
   145,569x = 231,475.50 × 231,475.50
4. Step 4: Simplify right side
   145,569x = 53,580,907,100.25
5. Step 5: Solve for x
   x = 53,580,907,100.25/145,569
6. Step 6: Final answer
   x = 368,079.10