Finding the Third Proportional to 83,041 and 130,513.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,041 : 130,513.50 = 130,513.50 : x
2. Step 2: Convert to fraction form
   83,041/130,513.50 = 130,513.50/x
3. Step 3: Cross multiply
   83,041x = 130,513.50 × 130,513.50
4. Step 4: Simplify right side
   83,041x = 17,033,773,682.25
5. Step 5: Solve for x
   x = 17,033,773,682.25/83,041
6. Step 6: Final answer
   x = 205,124.86