Finding the Third Proportional to 105,224 and 148,004

Step by Step Solution

1. Step 1: Write the proportion equation
   105,224 : 148,004 = 148,004 : x
2. Step 2: Convert to fraction form
   105,224/148,004 = 148,004/x
3. Step 3: Cross multiply
   105,224x = 148,004 × 148,004
4. Step 4: Simplify right side
   105,224x = 21,905,184,016
5. Step 5: Solve for x
   x = 21,905,184,016/105,224
6. Step 6: Final answer
   x = 208,176.69