Finding the Third Proportional to 83,328 and 185,088

Step by Step Solution

1. Step 1: Write the proportion equation
   83,328 : 185,088 = 185,088 : x
2. Step 2: Convert to fraction form
   83,328/185,088 = 185,088/x
3. Step 3: Cross multiply
   83,328x = 185,088 × 185,088
4. Step 4: Simplify right side
   83,328x = 34,257,567,744
5. Step 5: Solve for x
   x = 34,257,567,744/83,328
6. Step 6: Final answer
   x = 411,117.12