Finding the Third Proportional to 65,912 and 102,146

Step by Step Solution

1. Step 1: Write the proportion equation
   65,912 : 102,146 = 102,146 : x
2. Step 2: Convert to fraction form
   65,912/102,146 = 102,146/x
3. Step 3: Cross multiply
   65,912x = 102,146 × 102,146
4. Step 4: Simplify right side
   65,912x = 10,433,805,316
5. Step 5: Solve for x
   x = 10,433,805,316/65,912
6. Step 6: Final answer
   x = 158,299.02