Finding the Third Proportional to 33,117 and 78,120

Step by Step Solution

1. Step 1: Write the proportion equation
   33,117 : 78,120 = 78,120 : x
2. Step 2: Convert to fraction form
   33,117/78,120 = 78,120/x
3. Step 3: Cross multiply
   33,117x = 78,120 × 78,120
4. Step 4: Simplify right side
   33,117x = 6,102,734,400
5. Step 5: Solve for x
   x = 6,102,734,400/33,117
6. Step 6: Final answer
   x = 184,278.00