Finding the Third Proportional to 71,352 and 102,834

Step by Step Solution

1. Step 1: Write the proportion equation
   71,352 : 102,834 = 102,834 : x
2. Step 2: Convert to fraction form
   71,352/102,834 = 102,834/x
3. Step 3: Cross multiply
   71,352x = 102,834 × 102,834
4. Step 4: Simplify right side
   71,352x = 10,574,831,556
5. Step 5: Solve for x
   x = 10,574,831,556/71,352
6. Step 6: Final answer
   x = 148,206.52