Finding the Third Proportional to 105,008 and 233,128

Step by Step Solution

1. Step 1: Write the proportion equation
   105,008 : 233,128 = 233,128 : x
2. Step 2: Convert to fraction form
   105,008/233,128 = 233,128/x
3. Step 3: Cross multiply
   105,008x = 233,128 × 233,128
4. Step 4: Simplify right side
   105,008x = 54,348,664,384
5. Step 5: Solve for x
   x = 54,348,664,384/105,008
6. Step 6: Final answer
   x = 517,566.89