Finding the Third Proportional to 136,280 and 205,648.50

Step by Step Solution

1. Step 1: Write the proportion equation
   136,280 : 205,648.50 = 205,648.50 : x
2. Step 2: Convert to fraction form
   136,280/205,648.50 = 205,648.50/x
3. Step 3: Cross multiply
   136,280x = 205,648.50 × 205,648.50
4. Step 4: Simplify right side
   136,280x = 42,291,305,552.25
5. Step 5: Solve for x
   x = 42,291,305,552.25/136,280
6. Step 6: Final answer
   x = 310,326.57