Finding the Third Proportional to 90,135 and 208,654.50

Step by Step Solution

1. Step 1: Write the proportion equation
   90,135 : 208,654.50 = 208,654.50 : x
2. Step 2: Convert to fraction form
   90,135/208,654.50 = 208,654.50/x
3. Step 3: Cross multiply
   90,135x = 208,654.50 × 208,654.50
4. Step 4: Simplify right side
   90,135x = 43,536,700,370.25
5. Step 5: Solve for x
   x = 43,536,700,370.25/90,135
6. Step 6: Final answer
   x = 483,016.59