Finding the Third Proportional to 105,512 and 151,142.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,512 : 151,142.50 = 151,142.50 : x
2. Step 2: Convert to fraction form
   105,512/151,142.50 = 151,142.50/x
3. Step 3: Cross multiply
   105,512x = 151,142.50 × 151,142.50
4. Step 4: Simplify right side
   105,512x = 22,844,055,306.25
5. Step 5: Solve for x
   x = 22,844,055,306.25/105,512
6. Step 6: Final answer
   x = 216,506.70