Finding the Third Proportional to 138,335.50 and 208,477

Step by Step Solution

1. Step 1: Write the proportion equation
   138,335.50 : 208,477 = 208,477 : x
2. Step 2: Convert to fraction form
   138,335.50/208,477 = 208,477/x
3. Step 3: Cross multiply
   138,335.50x = 208,477 × 208,477
4. Step 4: Simplify right side
   138,335.50x = 43,462,659,529
5. Step 5: Solve for x
   x = 43,462,659,529/138,335.50
6. Step 6: Final answer
   x = 314,182.98