Finding the Third Proportional to 100,239 and 208,744.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,239 : 208,744.50 = 208,744.50 : x
2. Step 2: Convert to fraction form
   100,239/208,744.50 = 208,744.50/x
3. Step 3: Cross multiply
   100,239x = 208,744.50 × 208,744.50
4. Step 4: Simplify right side
   100,239x = 43,574,266,280.25
5. Step 5: Solve for x
   x = 43,574,266,280.25/100,239
6. Step 6: Final answer
   x = 434,703.72