Finding the Third Proportional to 35,834 and 78,146

Step by Step Solution

1. Step 1: Write the proportion equation
   35,834 : 78,146 = 78,146 : x
2. Step 2: Convert to fraction form
   35,834/78,146 = 78,146/x
3. Step 3: Cross multiply
   35,834x = 78,146 × 78,146
4. Step 4: Simplify right side
   35,834x = 6,106,797,316
5. Step 5: Solve for x
   x = 6,106,797,316/35,834
6. Step 6: Final answer
   x = 170,419.08