Finding the Third Proportional to 83,139 and 201,271.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,139 : 201,271.50 = 201,271.50 : x
2. Step 2: Convert to fraction form
   83,139/201,271.50 = 201,271.50/x
3. Step 3: Cross multiply
   83,139x = 201,271.50 × 201,271.50
4. Step 4: Simplify right side
   83,139x = 40,510,216,712.25
5. Step 5: Solve for x
   x = 40,510,216,712.25/83,139
6. Step 6: Final answer
   x = 487,258.89