Finding the Third Proportional to 136,571 and 206,773.50

Step by Step Solution

1. Step 1: Write the proportion equation
   136,571 : 206,773.50 = 206,773.50 : x
2. Step 2: Convert to fraction form
   136,571/206,773.50 = 206,773.50/x
3. Step 3: Cross multiply
   136,571x = 206,773.50 × 206,773.50
4. Step 4: Simplify right side
   136,571x = 42,755,280,302.25
5. Step 5: Solve for x
   x = 42,755,280,302.25/136,571
6. Step 6: Final answer
   x = 313,062.66