Finding the Third Proportional to 109,749 and 164,154

Step by Step Solution

1. Step 1: Write the proportion equation
   109,749 : 164,154 = 164,154 : x
2. Step 2: Convert to fraction form
   109,749/164,154 = 164,154/x
3. Step 3: Cross multiply
   109,749x = 164,154 × 164,154
4. Step 4: Simplify right side
   109,749x = 26,946,535,716
5. Step 5: Solve for x
   x = 26,946,535,716/109,749
6. Step 6: Final answer
   x = 245,528.76