Finding the Third Proportional to 35,744 and 78,154

Step by Step Solution

1. Step 1: Write the proportion equation
   35,744 : 78,154 = 78,154 : x
2. Step 2: Convert to fraction form
   35,744/78,154 = 78,154/x
3. Step 3: Cross multiply
   35,744x = 78,154 × 78,154
4. Step 4: Simplify right side
   35,744x = 6,108,047,716
5. Step 5: Solve for x
   x = 6,108,047,716/35,744
6. Step 6: Final answer
   x = 170,883.16