Finding the Third Proportional to 136,757 and 207,022.50

Step by Step Solution

1. Step 1: Write the proportion equation
   136,757 : 207,022.50 = 207,022.50 : x
2. Step 2: Convert to fraction form
   136,757/207,022.50 = 207,022.50/x
3. Step 3: Cross multiply
   136,757x = 207,022.50 × 207,022.50
4. Step 4: Simplify right side
   136,757x = 42,858,315,506.25
5. Step 5: Solve for x
   x = 42,858,315,506.25/136,757
6. Step 6: Final answer
   x = 313,390.29