Finding the Third Proportional to 83,020 and 180,152

Step by Step Solution

1. Step 1: Write the proportion equation
   83,020 : 180,152 = 180,152 : x
2. Step 2: Convert to fraction form
   83,020/180,152 = 180,152/x
3. Step 3: Cross multiply
   83,020x = 180,152 × 180,152
4. Step 4: Simplify right side
   83,020x = 32,454,743,104
5. Step 5: Solve for x
   x = 32,454,743,104/83,020
6. Step 6: Final answer
   x = 390,926.80