Finding the Third Proportional to 45,688 and 70,314

Step by Step Solution

1. Step 1: Write the proportion equation
   45,688 : 70,314 = 70,314 : x
2. Step 2: Convert to fraction form
   45,688/70,314 = 70,314/x
3. Step 3: Cross multiply
   45,688x = 70,314 × 70,314
4. Step 4: Simplify right side
   45,688x = 4,944,058,596
5. Step 5: Solve for x
   x = 4,944,058,596/45,688
6. Step 6: Final answer
   x = 108,213.50