Finding the Third Proportional to 71,918 and 112,570

Step by Step Solution

1. Step 1: Write the proportion equation
   71,918 : 112,570 = 112,570 : x
2. Step 2: Convert to fraction form
   71,918/112,570 = 112,570/x
3. Step 3: Cross multiply
   71,918x = 112,570 × 112,570
4. Step 4: Simplify right side
   71,918x = 12,672,004,900
5. Step 5: Solve for x
   x = 12,672,004,900/71,918
6. Step 6: Final answer
   x = 176,200.74