Finding the Third Proportional to 84,024 and 130,099.50

Step by Step Solution

1. Step 1: Write the proportion equation
   84,024 : 130,099.50 = 130,099.50 : x
2. Step 2: Convert to fraction form
   84,024/130,099.50 = 130,099.50/x
3. Step 3: Cross multiply
   84,024x = 130,099.50 × 130,099.50
4. Step 4: Simplify right side
   84,024x = 16,925,879,900.25
5. Step 5: Solve for x
   x = 16,925,879,900.25/84,024
6. Step 6: Final answer
   x = 201,441.02