Finding the Third Proportional to 90,144 and 208,678.50

Step by Step Solution

1. Step 1: Write the proportion equation
   90,144 : 208,678.50 = 208,678.50 : x
2. Step 2: Convert to fraction form
   90,144/208,678.50 = 208,678.50/x
3. Step 3: Cross multiply
   90,144x = 208,678.50 × 208,678.50
4. Step 4: Simplify right side
   90,144x = 43,546,716,362.25
5. Step 5: Solve for x
   x = 43,546,716,362.25/90,144
6. Step 6: Final answer
   x = 483,079.48