Finding the Third Proportional to 90,078 and 208,536

Step by Step Solution

1. Step 1: Write the proportion equation
   90,078 : 208,536 = 208,536 : x
2. Step 2: Convert to fraction form
   90,078/208,536 = 208,536/x
3. Step 3: Cross multiply
   90,078x = 208,536 × 208,536
4. Step 4: Simplify right side
   90,078x = 43,487,263,296
5. Step 5: Solve for x
   x = 43,487,263,296/90,078
6. Step 6: Final answer
   x = 482,773.41