Finding the Third Proportional to 138,137.50 and 206,354

Step by Step Solution

1. Step 1: Write the proportion equation
   138,137.50 : 206,354 = 206,354 : x
2. Step 2: Convert to fraction form
   138,137.50/206,354 = 206,354/x
3. Step 3: Cross multiply
   138,137.50x = 206,354 × 206,354
4. Step 4: Simplify right side
   138,137.50x = 42,581,973,316
5. Step 5: Solve for x
   x = 42,581,973,316/138,137.50
6. Step 6: Final answer
   x = 308,257.88