Finding the Third Proportional to 105,232 and 148,016

Step by Step Solution

1. Step 1: Write the proportion equation
   105,232 : 148,016 = 148,016 : x
2. Step 2: Convert to fraction form
   105,232/148,016 = 148,016/x
3. Step 3: Cross multiply
   105,232x = 148,016 × 148,016
4. Step 4: Simplify right side
   105,232x = 21,908,736,256
5. Step 5: Solve for x
   x = 21,908,736,256/105,232
6. Step 6: Final answer
   x = 208,194.62