Finding the Third Proportional to 88,645.50 and 205,006.50

Step by Step Solution

1. Step 1: Write the proportion equation
   88,645.50 : 205,006.50 = 205,006.50 : x
2. Step 2: Convert to fraction form
   88,645.50/205,006.50 = 205,006.50/x
3. Step 3: Cross multiply
   88,645.50x = 205,006.50 × 205,006.50
4. Step 4: Simplify right side
   88,645.50x = 42,027,665,042.25
5. Step 5: Solve for x
   x = 42,027,665,042.25/88,645.50
6. Step 6: Final answer
   x = 474,109.40