Finding the Third Proportional to 138,343 and 208,784.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,343 : 208,784.50 = 208,784.50 : x
2. Step 2: Convert to fraction form
   138,343/208,784.50 = 208,784.50/x
3. Step 3: Cross multiply
   138,343x = 208,784.50 × 208,784.50
4. Step 4: Simplify right side
   138,343x = 43,590,967,440.25
5. Step 5: Solve for x
   x = 43,590,967,440.25/138,343
6. Step 6: Final answer
   x = 315,093.41