Finding the Third Proportional to 40,963 and 86,297

Step by Step Solution

1. Step 1: Write the proportion equation
   40,963 : 86,297 = 86,297 : x
2. Step 2: Convert to fraction form
   40,963/86,297 = 86,297/x
3. Step 3: Cross multiply
   40,963x = 86,297 × 86,297
4. Step 4: Simplify right side
   40,963x = 7,447,172,209
5. Step 5: Solve for x
   x = 7,447,172,209/40,963
6. Step 6: Final answer
   x = 181,802.41