Finding the Third Proportional to 78,133 and 120,443

Step by Step Solution

1. Step 1: Write the proportion equation
   78,133 : 120,443 = 120,443 : x
2. Step 2: Convert to fraction form
   78,133/120,443 = 120,443/x
3. Step 3: Cross multiply
   78,133x = 120,443 × 120,443
4. Step 4: Simplify right side
   78,133x = 14,506,516,249
5. Step 5: Solve for x
   x = 14,506,516,249/78,133
6. Step 6: Final answer
   x = 185,664.40