Finding the Third Proportional to 35,682 and 78,174

Step by Step Solution

1. Step 1: Write the proportion equation
   35,682 : 78,174 = 78,174 : x
2. Step 2: Convert to fraction form
   35,682/78,174 = 78,174/x
3. Step 3: Cross multiply
   35,682x = 78,174 × 78,174
4. Step 4: Simplify right side
   35,682x = 6,111,174,276
5. Step 5: Solve for x
   x = 6,111,174,276/35,682
6. Step 6: Final answer
   x = 171,267.71