Finding the Third Proportional to 85,116 and 185,160

Step by Step Solution

1. Step 1: Write the proportion equation
   85,116 : 185,160 = 185,160 : x
2. Step 2: Convert to fraction form
   85,116/185,160 = 185,160/x
3. Step 3: Cross multiply
   85,116x = 185,160 × 185,160
4. Step 4: Simplify right side
   85,116x = 34,284,225,600
5. Step 5: Solve for x
   x = 34,284,225,600/85,116
6. Step 6: Final answer
   x = 402,794.14