Finding the Third Proportional to 136,746 and 206,944.50

Step by Step Solution

1. Step 1: Write the proportion equation
   136,746 : 206,944.50 = 206,944.50 : x
2. Step 2: Convert to fraction form
   136,746/206,944.50 = 206,944.50/x
3. Step 3: Cross multiply
   136,746x = 206,944.50 × 206,944.50
4. Step 4: Simplify right side
   136,746x = 42,826,026,080.25
5. Step 5: Solve for x
   x = 42,826,026,080.25/136,746
6. Step 6: Final answer
   x = 313,179.37