Finding the Third Proportional to 130,977 and 200,225.50

Step by Step Solution

1. Step 1: Write the proportion equation
   130,977 : 200,225.50 = 200,225.50 : x
2. Step 2: Convert to fraction form
   130,977/200,225.50 = 200,225.50/x
3. Step 3: Cross multiply
   130,977x = 200,225.50 × 200,225.50
4. Step 4: Simplify right side
   130,977x = 40,090,250,850.25
5. Step 5: Solve for x
   x = 40,090,250,850.25/130,977
6. Step 6: Final answer
   x = 306,086.19