Finding the Third Proportional to 65,696 and 99,114

Step by Step Solution

1. Step 1: Write the proportion equation
   65,696 : 99,114 = 99,114 : x
2. Step 2: Convert to fraction form
   65,696/99,114 = 99,114/x
3. Step 3: Cross multiply
   65,696x = 99,114 × 99,114
4. Step 4: Simplify right side
   65,696x = 9,823,584,996
5. Step 5: Solve for x
   x = 9,823,584,996/65,696
6. Step 6: Final answer
   x = 149,530.95