Finding the Third Proportional to 101,844.50 and 149,648

Step by Step Solution

1. Step 1: Write the proportion equation
   101,844.50 : 149,648 = 149,648 : x
2. Step 2: Convert to fraction form
   101,844.50/149,648 = 149,648/x
3. Step 3: Cross multiply
   101,844.50x = 149,648 × 149,648
4. Step 4: Simplify right side
   101,844.50x = 22,394,523,904
5. Step 5: Solve for x
   x = 22,394,523,904/101,844.50
6. Step 6: Final answer
   x = 219,889.38