Finding the Third Proportional to 71,564 and 105,157.50

Step by Step Solution

1. Step 1: Write the proportion equation
   71,564 : 105,157.50 = 105,157.50 : x
2. Step 2: Convert to fraction form
   71,564/105,157.50 = 105,157.50/x
3. Step 3: Cross multiply
   71,564x = 105,157.50 × 105,157.50
4. Step 4: Simplify right side
   71,564x = 11,058,099,806.25
5. Step 5: Solve for x
   x = 11,058,099,806.25/71,564
6. Step 6: Final answer
   x = 154,520.43