Finding the Third Proportional to 78,976 and 186,435

Step by Step Solution

1. Step 1: Write the proportion equation
   78,976 : 186,435 = 186,435 : x
2. Step 2: Convert to fraction form
   78,976/186,435 = 186,435/x
3. Step 3: Cross multiply
   78,976x = 186,435 × 186,435
4. Step 4: Simplify right side
   78,976x = 34,758,009,225
5. Step 5: Solve for x
   x = 34,758,009,225/78,976
6. Step 6: Final answer
   x = 440,108.50