Finding the Third Proportional to 72,194 and 113,155

Step by Step Solution

1. Step 1: Write the proportion equation
   72,194 : 113,155 = 113,155 : x
2. Step 2: Convert to fraction form
   72,194/113,155 = 113,155/x
3. Step 3: Cross multiply
   72,194x = 113,155 × 113,155
4. Step 4: Simplify right side
   72,194x = 12,804,054,025
5. Step 5: Solve for x
   x = 12,804,054,025/72,194
6. Step 6: Final answer
   x = 177,356.21