Finding the Third Proportional to 78,084 and 124,152

Step by Step Solution

1. Step 1: Write the proportion equation
   78,084 : 124,152 = 124,152 : x
2. Step 2: Convert to fraction form
   78,084/124,152 = 124,152/x
3. Step 3: Cross multiply
   78,084x = 124,152 × 124,152
4. Step 4: Simplify right side
   78,084x = 15,413,719,104
5. Step 5: Solve for x
   x = 15,413,719,104/78,084
6. Step 6: Final answer
   x = 197,399.20