Finding the Third Proportional to 81,406 and 173,564.75

Step by Step Solution

1. Step 1: Write the proportion equation
   81,406 : 173,564.75 = 173,564.75 : x
2. Step 2: Convert to fraction form
   81,406/173,564.75 = 173,564.75/x
3. Step 3: Cross multiply
   81,406x = 173,564.75 × 173,564.75
4. Step 4: Simplify right side
   81,406x = 30,124,722,442.56
5. Step 5: Solve for x
   x = 30,124,722,442.56/81,406
6. Step 6: Final answer
   x = 370,055.31