Finding the Third Proportional to 65,478 and 102,429

Step by Step Solution

1. Step 1: Write the proportion equation
   65,478 : 102,429 = 102,429 : x
2. Step 2: Convert to fraction form
   65,478/102,429 = 102,429/x
3. Step 3: Cross multiply
   65,478x = 102,429 × 102,429
4. Step 4: Simplify right side
   65,478x = 10,491,700,041
5. Step 5: Solve for x
   x = 10,491,700,041/65,478
6. Step 6: Final answer
   x = 160,232.45