Finding the Third Proportional to 86,912 and 123,972

Step by Step Solution

1. Step 1: Write the proportion equation
   86,912 : 123,972 = 123,972 : x
2. Step 2: Convert to fraction form
   86,912/123,972 = 123,972/x
3. Step 3: Cross multiply
   86,912x = 123,972 × 123,972
4. Step 4: Simplify right side
   86,912x = 15,369,056,784
5. Step 5: Solve for x
   x = 15,369,056,784/86,912
6. Step 6: Final answer
   x = 176,834.69