Finding the Third Proportional to 111,064 and 177,636

Step by Step Solution

1. Step 1: Write the proportion equation
   111,064 : 177,636 = 177,636 : x
2. Step 2: Convert to fraction form
   111,064/177,636 = 177,636/x
3. Step 3: Cross multiply
   111,064x = 177,636 × 177,636
4. Step 4: Simplify right side
   111,064x = 31,554,548,496
5. Step 5: Solve for x
   x = 31,554,548,496/111,064
6. Step 6: Final answer
   x = 284,111.40