Finding the Third Proportional to 138,315 and 208,743.75

Step by Step Solution

1. Step 1: Write the proportion equation
   138,315 : 208,743.75 = 208,743.75 : x
2. Step 2: Convert to fraction form
   138,315/208,743.75 = 208,743.75/x
3. Step 3: Cross multiply
   138,315x = 208,743.75 × 208,743.75
4. Step 4: Simplify right side
   138,315x = 43,573,953,164.06
5. Step 5: Solve for x
   x = 43,573,953,164.06/138,315
6. Step 6: Final answer
   x = 315,034.18