Finding the Third Proportional to 85,114 and 114,495

Step by Step Solution

1. Step 1: Write the proportion equation
   85,114 : 114,495 = 114,495 : x
2. Step 2: Convert to fraction form
   85,114/114,495 = 114,495/x
3. Step 3: Cross multiply
   85,114x = 114,495 × 114,495
4. Step 4: Simplify right side
   85,114x = 13,109,105,025
5. Step 5: Solve for x
   x = 13,109,105,025/85,114
6. Step 6: Final answer
   x = 154,018.20