Finding the Third Proportional to 33,759 and 78,154

Step by Step Solution

1. Step 1: Write the proportion equation
   33,759 : 78,154 = 78,154 : x
2. Step 2: Convert to fraction form
   33,759/78,154 = 78,154/x
3. Step 3: Cross multiply
   33,759x = 78,154 × 78,154
4. Step 4: Simplify right side
   33,759x = 6,108,047,716
5. Step 5: Solve for x
   x = 6,108,047,716/33,759
6. Step 6: Final answer
   x = 180,930.94