Finding the Third Proportional to 78,300 and 120,906

Step by Step Solution

1. Step 1: Write the proportion equation
   78,300 : 120,906 = 120,906 : x
2. Step 2: Convert to fraction form
   78,300/120,906 = 120,906/x
3. Step 3: Cross multiply
   78,300x = 120,906 × 120,906
4. Step 4: Simplify right side
   78,300x = 14,618,260,836
5. Step 5: Solve for x
   x = 14,618,260,836/78,300
6. Step 6: Final answer
   x = 186,695.54