Finding the Third Proportional to 90,074 and 208,526

Step by Step Solution

1. Step 1: Write the proportion equation
   90,074 : 208,526 = 208,526 : x
2. Step 2: Convert to fraction form
   90,074/208,526 = 208,526/x
3. Step 3: Cross multiply
   90,074x = 208,526 × 208,526
4. Step 4: Simplify right side
   90,074x = 43,483,092,676
5. Step 5: Solve for x
   x = 43,483,092,676/90,074
6. Step 6: Final answer
   x = 482,748.55