Finding the Third Proportional to 88,645 and 205,004

Step by Step Solution

1. Step 1: Write the proportion equation
   88,645 : 205,004 = 205,004 : x
2. Step 2: Convert to fraction form
   88,645/205,004 = 205,004/x
3. Step 3: Cross multiply
   88,645x = 205,004 × 205,004
4. Step 4: Simplify right side
   88,645x = 42,026,640,016
5. Step 5: Solve for x
   x = 42,026,640,016/88,645
6. Step 6: Final answer
   x = 474,100.51