Finding the Third Proportional to 71,567 and 105,162.50

Step by Step Solution

1. Step 1: Write the proportion equation
   71,567 : 105,162.50 = 105,162.50 : x
2. Step 2: Convert to fraction form
   71,567/105,162.50 = 105,162.50/x
3. Step 3: Cross multiply
   71,567x = 105,162.50 × 105,162.50
4. Step 4: Simplify right side
   71,567x = 11,059,151,406.25
5. Step 5: Solve for x
   x = 11,059,151,406.25/71,567
6. Step 6: Final answer
   x = 154,528.64