Finding the Third Proportional to 83,586 and 174,060

Step by Step Solution

1. Step 1: Write the proportion equation
   83,586 : 174,060 = 174,060 : x
2. Step 2: Convert to fraction form
   83,586/174,060 = 174,060/x
3. Step 3: Cross multiply
   83,586x = 174,060 × 174,060
4. Step 4: Simplify right side
   83,586x = 30,296,883,600
5. Step 5: Solve for x
   x = 30,296,883,600/83,586
6. Step 6: Final answer
   x = 362,463.61