Finding the Third Proportional to 102,064.50 and 204,538.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,064.50 : 204,538.50 = 204,538.50 : x
2. Step 2: Convert to fraction form
   102,064.50/204,538.50 = 204,538.50/x
3. Step 3: Cross multiply
   102,064.50x = 204,538.50 × 204,538.50
4. Step 4: Simplify right side
   102,064.50x = 41,835,997,982.25
5. Step 5: Solve for x
   x = 41,835,997,982.25/102,064.50
6. Step 6: Final answer
   x = 409,897.64