Finding the Third Proportional to 145,797 and 186,300

Step by Step Solution

1. Step 1: Write the proportion equation
   145,797 : 186,300 = 186,300 : x
2. Step 2: Convert to fraction form
   145,797/186,300 = 186,300/x
3. Step 3: Cross multiply
   145,797x = 186,300 × 186,300
4. Step 4: Simplify right side
   145,797x = 34,707,690,000
5. Step 5: Solve for x
   x = 34,707,690,000/145,797
6. Step 6: Final answer
   x = 238,054.90