Finding the Third Proportional to 40,516.50 and 84,259.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,516.50 : 84,259.50 = 84,259.50 : x
2. Step 2: Convert to fraction form
   40,516.50/84,259.50 = 84,259.50/x
3. Step 3: Cross multiply
   40,516.50x = 84,259.50 × 84,259.50
4. Step 4: Simplify right side
   40,516.50x = 7,099,663,340.25
5. Step 5: Solve for x
   x = 7,099,663,340.25/40,516.50
6. Step 6: Final answer
   x = 175,228.94