Finding the Third Proportional to 83,634 and 183,871.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,634 : 183,871.50 = 183,871.50 : x
2. Step 2: Convert to fraction form
   83,634/183,871.50 = 183,871.50/x
3. Step 3: Cross multiply
   83,634x = 183,871.50 × 183,871.50
4. Step 4: Simplify right side
   83,634x = 33,808,728,512.25
5. Step 5: Solve for x
   x = 33,808,728,512.25/83,634
6. Step 6: Final answer
   x = 404,246.22