Finding the Third Proportional to 42,506 and 86,852

Step by Step Solution

1. Step 1: Write the proportion equation
   42,506 : 86,852 = 86,852 : x
2. Step 2: Convert to fraction form
   42,506/86,852 = 86,852/x
3. Step 3: Cross multiply
   42,506x = 86,852 × 86,852
4. Step 4: Simplify right side
   42,506x = 7,543,269,904
5. Step 5: Solve for x
   x = 7,543,269,904/42,506
6. Step 6: Final answer
   x = 177,463.65