Finding the Third Proportional to 105,200 and 147,972

Step by Step Solution

1. Step 1: Write the proportion equation
   105,200 : 147,972 = 147,972 : x
2. Step 2: Convert to fraction form
   105,200/147,972 = 147,972/x
3. Step 3: Cross multiply
   105,200x = 147,972 × 147,972
4. Step 4: Simplify right side
   105,200x = 21,895,712,784
5. Step 5: Solve for x
   x = 21,895,712,784/105,200
6. Step 6: Final answer
   x = 208,134.15