Finding the Third Proportional to 85,467 and 185,513

Step by Step Solution

1. Step 1: Write the proportion equation
   85,467 : 185,513 = 185,513 : x
2. Step 2: Convert to fraction form
   85,467/185,513 = 185,513/x
3. Step 3: Cross multiply
   85,467x = 185,513 × 185,513
4. Step 4: Simplify right side
   85,467x = 34,415,073,169
5. Step 5: Solve for x
   x = 34,415,073,169/85,467
6. Step 6: Final answer
   x = 402,670.89