Finding the Third Proportional to 83,977 and 130,022.75

Step by Step Solution

1. Step 1: Write the proportion equation
   83,977 : 130,022.75 = 130,022.75 : x
2. Step 2: Convert to fraction form
   83,977/130,022.75 = 130,022.75/x
3. Step 3: Cross multiply
   83,977x = 130,022.75 × 130,022.75
4. Step 4: Simplify right side
   83,977x = 16,905,915,517.56
5. Step 5: Solve for x
   x = 16,905,915,517.56/83,977
6. Step 6: Final answer
   x = 201,316.02