Finding the Third Proportional to 116,978 and 183,315

Step by Step Solution

1. Step 1: Write the proportion equation
   116,978 : 183,315 = 183,315 : x
2. Step 2: Convert to fraction form
   116,978/183,315 = 183,315/x
3. Step 3: Cross multiply
   116,978x = 183,315 × 183,315
4. Step 4: Simplify right side
   116,978x = 33,604,389,225
5. Step 5: Solve for x
   x = 33,604,389,225/116,978
6. Step 6: Final answer
   x = 287,271.02