Finding the Third Proportional to 81,923.63 and 123,463.69

Step by Step Solution

1. Step 1: Write the proportion equation
   81,923.63 : 123,463.69 = 123,463.69 : x
2. Step 2: Convert to fraction form
   81,923.63/123,463.69 = 123,463.69/x
3. Step 3: Cross multiply
   81,923.63x = 123,463.69 × 123,463.69
4. Step 4: Simplify right side
   81,923.63x = 15,243,282,131.10
5. Step 5: Solve for x
   x = 15,243,282,131.10/81,923.63
6. Step 6: Final answer
   x = 186,066.99