Finding the Third Proportional to 78,320 and 120,928

Step by Step Solution

1. Step 1: Write the proportion equation
   78,320 : 120,928 = 120,928 : x
2. Step 2: Convert to fraction form
   78,320/120,928 = 120,928/x
3. Step 3: Cross multiply
   78,320x = 120,928 × 120,928
4. Step 4: Simplify right side
   78,320x = 14,623,581,184
5. Step 5: Solve for x
   x = 14,623,581,184/78,320
6. Step 6: Final answer
   x = 186,715.80