Finding the Third Proportional to 85,848 and 114,624

Step by Step Solution

1. Step 1: Write the proportion equation
   85,848 : 114,624 = 114,624 : x
2. Step 2: Convert to fraction form
   85,848/114,624 = 114,624/x
3. Step 3: Cross multiply
   85,848x = 114,624 × 114,624
4. Step 4: Simplify right side
   85,848x = 13,138,661,376
5. Step 5: Solve for x
   x = 13,138,661,376/85,848
6. Step 6: Final answer
   x = 153,045.63