Finding the Third Proportional to 138,145.50 and 206,364

Step by Step Solution

1. Step 1: Write the proportion equation
   138,145.50 : 206,364 = 206,364 : x
2. Step 2: Convert to fraction form
   138,145.50/206,364 = 206,364/x
3. Step 3: Cross multiply
   138,145.50x = 206,364 × 206,364
4. Step 4: Simplify right side
   138,145.50x = 42,586,100,496
5. Step 5: Solve for x
   x = 42,586,100,496/138,145.50
6. Step 6: Final answer
   x = 308,269.91