Finding the Third Proportional to 138,105.75 and 209,026.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,105.75 : 209,026.50 = 209,026.50 : x
2. Step 2: Convert to fraction form
   138,105.75/209,026.50 = 209,026.50/x
3. Step 3: Cross multiply
   138,105.75x = 209,026.50 × 209,026.50
4. Step 4: Simplify right side
   138,105.75x = 43,692,077,702.25
5. Step 5: Solve for x
   x = 43,692,077,702.25/138,105.75
6. Step 6: Final answer
   x = 316,366.83