Finding the Third Proportional to 40,410 and 83,308.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,410 : 83,308.50 = 83,308.50 : x
2. Step 2: Convert to fraction form
   40,410/83,308.50 = 83,308.50/x
3. Step 3: Cross multiply
   40,410x = 83,308.50 × 83,308.50
4. Step 4: Simplify right side
   40,410x = 6,940,306,172.25
5. Step 5: Solve for x
   x = 6,940,306,172.25/40,410
6. Step 6: Final answer
   x = 171,747.25