Finding the Third Proportional to 85,513 and 185,627

Step by Step Solution

1. Step 1: Write the proportion equation
   85,513 : 185,627 = 185,627 : x
2. Step 2: Convert to fraction form
   85,513/185,627 = 185,627/x
3. Step 3: Cross multiply
   85,513x = 185,627 × 185,627
4. Step 4: Simplify right side
   85,513x = 34,457,383,129
5. Step 5: Solve for x
   x = 34,457,383,129/85,513
6. Step 6: Final answer
   x = 402,949.06