Finding the Third Proportional to 53,864 and 86,052

Step by Step Solution

1. Step 1: Write the proportion equation
   53,864 : 86,052 = 86,052 : x
2. Step 2: Convert to fraction form
   53,864/86,052 = 86,052/x
3. Step 3: Cross multiply
   53,864x = 86,052 × 86,052
4. Step 4: Simplify right side
   53,864x = 7,404,946,704
5. Step 5: Solve for x
   x = 7,404,946,704/53,864
6. Step 6: Final answer
   x = 137,474.88