Finding the Third Proportional to 85,194 and 185,260

Step by Step Solution

1. Step 1: Write the proportion equation
   85,194 : 185,260 = 185,260 : x
2. Step 2: Convert to fraction form
   85,194/185,260 = 185,260/x
3. Step 3: Cross multiply
   85,194x = 185,260 × 185,260
4. Step 4: Simplify right side
   85,194x = 34,321,267,600
5. Step 5: Solve for x
   x = 34,321,267,600/85,194
6. Step 6: Final answer
   x = 402,860.15