Finding the Third Proportional to 83,977.50 and 130,022.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,977.50 : 130,022.50 = 130,022.50 : x
2. Step 2: Convert to fraction form
   83,977.50/130,022.50 = 130,022.50/x
3. Step 3: Cross multiply
   83,977.50x = 130,022.50 × 130,022.50
4. Step 4: Simplify right side
   83,977.50x = 16,905,850,506.25
5. Step 5: Solve for x
   x = 16,905,850,506.25/83,977.50
6. Step 6: Final answer
   x = 201,314.05