Finding the Third Proportional to 111,840 and 164,588

Step by Step Solution

1. Step 1: Write the proportion equation
   111,840 : 164,588 = 164,588 : x
2. Step 2: Convert to fraction form
   111,840/164,588 = 164,588/x
3. Step 3: Cross multiply
   111,840x = 164,588 × 164,588
4. Step 4: Simplify right side
   111,840x = 27,089,209,744
5. Step 5: Solve for x
   x = 27,089,209,744/111,840
6. Step 6: Final answer
   x = 242,213.96