Finding the Third Proportional to 69,770 and 111,387

Step by Step Solution

1. Step 1: Write the proportion equation
   69,770 : 111,387 = 111,387 : x
2. Step 2: Convert to fraction form
   69,770/111,387 = 111,387/x
3. Step 3: Cross multiply
   69,770x = 111,387 × 111,387
4. Step 4: Simplify right side
   69,770x = 12,407,063,769
5. Step 5: Solve for x
   x = 12,407,063,769/69,770
6. Step 6: Final answer
   x = 177,828.06