Finding the Third Proportional to 66,438 and 102,870

Step by Step Solution

1. Step 1: Write the proportion equation
   66,438 : 102,870 = 102,870 : x
2. Step 2: Convert to fraction form
   66,438/102,870 = 102,870/x
3. Step 3: Cross multiply
   66,438x = 102,870 × 102,870
4. Step 4: Simplify right side
   66,438x = 10,582,236,900
5. Step 5: Solve for x
   x = 10,582,236,900/66,438
6. Step 6: Final answer
   x = 159,279.88