Finding the Third Proportional to 71,757 and 105,442.50

Step by Step Solution

1. Step 1: Write the proportion equation
   71,757 : 105,442.50 = 105,442.50 : x
2. Step 2: Convert to fraction form
   71,757/105,442.50 = 105,442.50/x
3. Step 3: Cross multiply
   71,757x = 105,442.50 × 105,442.50
4. Step 4: Simplify right side
   71,757x = 11,118,120,806.25
5. Step 5: Solve for x
   x = 11,118,120,806.25/71,757
6. Step 6: Final answer
   x = 154,941.27