Finding the Third Proportional to 40,262 and 86,784

Step by Step Solution

1. Step 1: Write the proportion equation
   40,262 : 86,784 = 86,784 : x
2. Step 2: Convert to fraction form
   40,262/86,784 = 86,784/x
3. Step 3: Cross multiply
   40,262x = 86,784 × 86,784
4. Step 4: Simplify right side
   40,262x = 7,531,462,656
5. Step 5: Solve for x
   x = 7,531,462,656/40,262
6. Step 6: Final answer
   x = 187,061.31