Finding the Third Proportional to 81,945 and 112,146

Step by Step Solution

1. Step 1: Write the proportion equation
   81,945 : 112,146 = 112,146 : x
2. Step 2: Convert to fraction form
   81,945/112,146 = 112,146/x
3. Step 3: Cross multiply
   81,945x = 112,146 × 112,146
4. Step 4: Simplify right side
   81,945x = 12,576,725,316
5. Step 5: Solve for x
   x = 12,576,725,316/81,945
6. Step 6: Final answer
   x = 153,477.64