Finding the Third Proportional to 137,628 and 201,131.25

Step by Step Solution

1. Step 1: Write the proportion equation
   137,628 : 201,131.25 = 201,131.25 : x
2. Step 2: Convert to fraction form
   137,628/201,131.25 = 201,131.25/x
3. Step 3: Cross multiply
   137,628x = 201,131.25 × 201,131.25
4. Step 4: Simplify right side
   137,628x = 40,453,779,726.56
5. Step 5: Solve for x
   x = 40,453,779,726.56/137,628
6. Step 6: Final answer
   x = 293,935.68