Finding the Third Proportional to 40,185 and 81,463.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,185 : 81,463.50 = 81,463.50 : x
2. Step 2: Convert to fraction form
   40,185/81,463.50 = 81,463.50/x
3. Step 3: Cross multiply
   40,185x = 81,463.50 × 81,463.50
4. Step 4: Simplify right side
   40,185x = 6,636,301,832.25
5. Step 5: Solve for x
   x = 6,636,301,832.25/40,185
6. Step 6: Final answer
   x = 165,143.76