Finding the Third Proportional to 81,740 and 175,146

Step by Step Solution

1. Step 1: Write the proportion equation
   81,740 : 175,146 = 175,146 : x
2. Step 2: Convert to fraction form
   81,740/175,146 = 175,146/x
3. Step 3: Cross multiply
   81,740x = 175,146 × 175,146
4. Step 4: Simplify right side
   81,740x = 30,676,121,316
5. Step 5: Solve for x
   x = 30,676,121,316/81,740
6. Step 6: Final answer
   x = 375,288.98