Finding the Third Proportional to 71,048 and 102,643.50

Step by Step Solution

1. Step 1: Write the proportion equation
   71,048 : 102,643.50 = 102,643.50 : x
2. Step 2: Convert to fraction form
   71,048/102,643.50 = 102,643.50/x
3. Step 3: Cross multiply
   71,048x = 102,643.50 × 102,643.50
4. Step 4: Simplify right side
   71,048x = 10,535,688,092.25
5. Step 5: Solve for x
   x = 10,535,688,092.25/71,048
6. Step 6: Final answer
   x = 148,289.72