Finding the Third Proportional to 81,830.25 and 123,474.38

Step by Step Solution

1. Step 1: Write the proportion equation
   81,830.25 : 123,474.38 = 123,474.38 : x
2. Step 2: Convert to fraction form
   81,830.25/123,474.38 = 123,474.38/x
3. Step 3: Cross multiply
   81,830.25x = 123,474.38 × 123,474.38
4. Step 4: Simplify right side
   81,830.25x = 15,245,921,281.64
5. Step 5: Solve for x
   x = 15,245,921,281.64/81,830.25
6. Step 6: Final answer
   x = 186,311.56