Finding the Third Proportional to 85,138 and 185,038

Step by Step Solution

1. Step 1: Write the proportion equation
   85,138 : 185,038 = 185,038 : x
2. Step 2: Convert to fraction form
   85,138/185,038 = 185,038/x
3. Step 3: Cross multiply
   85,138x = 185,038 × 185,038
4. Step 4: Simplify right side
   85,138x = 34,239,061,444
5. Step 5: Solve for x
   x = 34,239,061,444/85,138
6. Step 6: Final answer
   x = 402,159.57