Finding the Third Proportional to 85,752 and 185,814

Step by Step Solution

1. Step 1: Write the proportion equation
   85,752 : 185,814 = 185,814 : x
2. Step 2: Convert to fraction form
   85,752/185,814 = 185,814/x
3. Step 3: Cross multiply
   85,752x = 185,814 × 185,814
4. Step 4: Simplify right side
   85,752x = 34,526,842,596
5. Step 5: Solve for x
   x = 34,526,842,596/85,752
6. Step 6: Final answer
   x = 402,636.00