Finding the Third Proportional to 138,007 and 208,321.88

Step by Step Solution

1. Step 1: Write the proportion equation
   138,007 : 208,321.88 = 208,321.88 : x
2. Step 2: Convert to fraction form
   138,007/208,321.88 = 208,321.88/x
3. Step 3: Cross multiply
   138,007x = 208,321.88 × 208,321.88
4. Step 4: Simplify right side
   138,007x = 43,398,003,603.52
5. Step 5: Solve for x
   x = 43,398,003,603.52/138,007
6. Step 6: Final answer
   x = 314,462.34