Finding the Third Proportional to 119,636 and 185,108

Step by Step Solution

1. Step 1: Write the proportion equation
   119,636 : 185,108 = 185,108 : x
2. Step 2: Convert to fraction form
   119,636/185,108 = 185,108/x
3. Step 3: Cross multiply
   119,636x = 185,108 × 185,108
4. Step 4: Simplify right side
   119,636x = 34,264,971,664
5. Step 5: Solve for x
   x = 34,264,971,664/119,636
6. Step 6: Final answer
   x = 286,410.21