Finding the Third Proportional to 105,588 and 157,842

Step by Step Solution

1. Step 1: Write the proportion equation
   105,588 : 157,842 = 157,842 : x
2. Step 2: Convert to fraction form
   105,588/157,842 = 157,842/x
3. Step 3: Cross multiply
   105,588x = 157,842 × 157,842
4. Step 4: Simplify right side
   105,588x = 24,914,096,964
5. Step 5: Solve for x
   x = 24,914,096,964/105,588
6. Step 6: Final answer
   x = 235,955.76