Finding the Third Proportional to 145,713 and 231,697.50

Step by Step Solution

1. Step 1: Write the proportion equation
   145,713 : 231,697.50 = 231,697.50 : x
2. Step 2: Convert to fraction form
   145,713/231,697.50 = 231,697.50/x
3. Step 3: Cross multiply
   145,713x = 231,697.50 × 231,697.50
4. Step 4: Simplify right side
   145,713x = 53,683,731,506.25
5. Step 5: Solve for x
   x = 53,683,731,506.25/145,713
6. Step 6: Final answer
   x = 368,421.02