Finding the Third Proportional to 84,645 and 186,003

Step by Step Solution

1. Step 1: Write the proportion equation
   84,645 : 186,003 = 186,003 : x
2. Step 2: Convert to fraction form
   84,645/186,003 = 186,003/x
3. Step 3: Cross multiply
   84,645x = 186,003 × 186,003
4. Step 4: Simplify right side
   84,645x = 34,597,116,009
5. Step 5: Solve for x
   x = 34,597,116,009/84,645
6. Step 6: Final answer
   x = 408,731.95