Finding the Third Proportional to 83,116.50 and 180,084

Step by Step Solution

1. Step 1: Write the proportion equation
   83,116.50 : 180,084 = 180,084 : x
2. Step 2: Convert to fraction form
   83,116.50/180,084 = 180,084/x
3. Step 3: Cross multiply
   83,116.50x = 180,084 × 180,084
4. Step 4: Simplify right side
   83,116.50x = 32,430,247,056
5. Step 5: Solve for x
   x = 32,430,247,056/83,116.50
6. Step 6: Final answer
   x = 390,178.21