Finding the Third Proportional to 40,814 and 86,528

Step by Step Solution

1. Step 1: Write the proportion equation
   40,814 : 86,528 = 86,528 : x
2. Step 2: Convert to fraction form
   40,814/86,528 = 86,528/x
3. Step 3: Cross multiply
   40,814x = 86,528 × 86,528
4. Step 4: Simplify right side
   40,814x = 7,487,094,784
5. Step 5: Solve for x
   x = 7,487,094,784/40,814
6. Step 6: Final answer
   x = 183,444.28