Finding the Third Proportional to 70,916 and 111,261

Step by Step Solution

1. Step 1: Write the proportion equation
   70,916 : 111,261 = 111,261 : x
2. Step 2: Convert to fraction form
   70,916/111,261 = 111,261/x
3. Step 3: Cross multiply
   70,916x = 111,261 × 111,261
4. Step 4: Simplify right side
   70,916x = 12,379,010,121
5. Step 5: Solve for x
   x = 12,379,010,121/70,916
6. Step 6: Final answer
   x = 174,558.78