Finding the Third Proportional to 90,136 and 208,658

Step by Step Solution

1. Step 1: Write the proportion equation
   90,136 : 208,658 = 208,658 : x
2. Step 2: Convert to fraction form
   90,136/208,658 = 208,658/x
3. Step 3: Cross multiply
   90,136x = 208,658 × 208,658
4. Step 4: Simplify right side
   90,136x = 43,538,160,964
5. Step 5: Solve for x
   x = 43,538,160,964/90,136
6. Step 6: Final answer
   x = 483,027.44