Finding the Third Proportional to 65,964 and 102,204

Step by Step Solution

1. Step 1: Write the proportion equation
   65,964 : 102,204 = 102,204 : x
2. Step 2: Convert to fraction form
   65,964/102,204 = 102,204/x
3. Step 3: Cross multiply
   65,964x = 102,204 × 102,204
4. Step 4: Simplify right side
   65,964x = 10,445,657,616
5. Step 5: Solve for x
   x = 10,445,657,616/65,964
6. Step 6: Final answer
   x = 158,353.91