Finding the Third Proportional to 111,420 and 164,668.50

Step by Step Solution

1. Step 1: Write the proportion equation
   111,420 : 164,668.50 = 164,668.50 : x
2. Step 2: Convert to fraction form
   111,420/164,668.50 = 164,668.50/x
3. Step 3: Cross multiply
   111,420x = 164,668.50 × 164,668.50
4. Step 4: Simplify right side
   111,420x = 27,115,714,892.25
5. Step 5: Solve for x
   x = 27,115,714,892.25/111,420
6. Step 6: Final answer
   x = 243,364.88