Finding the Third Proportional to 67,811 and 147,675.50

Step by Step Solution

1. Step 1: Write the proportion equation
   67,811 : 147,675.50 = 147,675.50 : x
2. Step 2: Convert to fraction form
   67,811/147,675.50 = 147,675.50/x
3. Step 3: Cross multiply
   67,811x = 147,675.50 × 147,675.50
4. Step 4: Simplify right side
   67,811x = 21,808,053,300.25
5. Step 5: Solve for x
   x = 21,808,053,300.25/67,811
6. Step 6: Final answer
   x = 321,600.53