Finding the Third Proportional to 78,970 and 172,702

Step by Step Solution

1. Step 1: Write the proportion equation
   78,970 : 172,702 = 172,702 : x
2. Step 2: Convert to fraction form
   78,970/172,702 = 172,702/x
3. Step 3: Cross multiply
   78,970x = 172,702 × 172,702
4. Step 4: Simplify right side
   78,970x = 29,825,980,804
5. Step 5: Solve for x
   x = 29,825,980,804/78,970
6. Step 6: Final answer
   x = 377,687.49