Finding the Third Proportional to 111,926 and 155,128

Step by Step Solution

1. Step 1: Write the proportion equation
   111,926 : 155,128 = 155,128 : x
2. Step 2: Convert to fraction form
   111,926/155,128 = 155,128/x
3. Step 3: Cross multiply
   111,926x = 155,128 × 155,128
4. Step 4: Simplify right side
   111,926x = 24,064,696,384
5. Step 5: Solve for x
   x = 24,064,696,384/111,926
6. Step 6: Final answer
   x = 215,005.42