Finding the Third Proportional to 83,148 and 182,391.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,148 : 182,391.50 = 182,391.50 : x
2. Step 2: Convert to fraction form
   83,148/182,391.50 = 182,391.50/x
3. Step 3: Cross multiply
   83,148x = 182,391.50 × 182,391.50
4. Step 4: Simplify right side
   83,148x = 33,266,659,272.25
5. Step 5: Solve for x
   x = 33,266,659,272.25/83,148
6. Step 6: Final answer
   x = 400,089.71