Finding the Third Proportional to 70,708 and 102,254

Step by Step Solution

1. Step 1: Write the proportion equation
   70,708 : 102,254 = 102,254 : x
2. Step 2: Convert to fraction form
   70,708/102,254 = 102,254/x
3. Step 3: Cross multiply
   70,708x = 102,254 × 102,254
4. Step 4: Simplify right side
   70,708x = 10,455,880,516
5. Step 5: Solve for x
   x = 10,455,880,516/70,708
6. Step 6: Final answer
   x = 147,874.08