Finding the Third Proportional to 65,862 and 102,172

Step by Step Solution

1. Step 1: Write the proportion equation
   65,862 : 102,172 = 102,172 : x
2. Step 2: Convert to fraction form
   65,862/102,172 = 102,172/x
3. Step 3: Cross multiply
   65,862x = 102,172 × 102,172
4. Step 4: Simplify right side
   65,862x = 10,439,117,584
5. Step 5: Solve for x
   x = 10,439,117,584/65,862
6. Step 6: Final answer
   x = 158,499.86