Finding the Third Proportional to 78,666 and 120,334.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,666 : 120,334.50 = 120,334.50 : x
2. Step 2: Convert to fraction form
   78,666/120,334.50 = 120,334.50/x
3. Step 3: Cross multiply
   78,666x = 120,334.50 × 120,334.50
4. Step 4: Simplify right side
   78,666x = 14,480,391,890.25
5. Step 5: Solve for x
   x = 14,480,391,890.25/78,666
6. Step 6: Final answer
   x = 184,074.34