Finding the Third Proportional to 90,211 and 204,036.50

Step by Step Solution

1. Step 1: Write the proportion equation
   90,211 : 204,036.50 = 204,036.50 : x
2. Step 2: Convert to fraction form
   90,211/204,036.50 = 204,036.50/x
3. Step 3: Cross multiply
   90,211x = 204,036.50 × 204,036.50
4. Step 4: Simplify right side
   90,211x = 41,630,893,332.25
5. Step 5: Solve for x
   x = 41,630,893,332.25/90,211
6. Step 6: Final answer
   x = 461,483.56