Finding the Third Proportional to 71,514 and 105,052.50

Step by Step Solution

1. Step 1: Write the proportion equation
   71,514 : 105,052.50 = 105,052.50 : x
2. Step 2: Convert to fraction form
   71,514/105,052.50 = 105,052.50/x
3. Step 3: Cross multiply
   71,514x = 105,052.50 × 105,052.50
4. Step 4: Simplify right side
   71,514x = 11,036,027,756.25
5. Step 5: Solve for x
   x = 11,036,027,756.25/71,514
6. Step 6: Final answer
   x = 154,319.82