Finding the Third Proportional to 112,740 and 174,810

Step by Step Solution

1. Step 1: Write the proportion equation
   112,740 : 174,810 = 174,810 : x
2. Step 2: Convert to fraction form
   112,740/174,810 = 174,810/x
3. Step 3: Cross multiply
   112,740x = 174,810 × 174,810
4. Step 4: Simplify right side
   112,740x = 30,558,536,100
5. Step 5: Solve for x
   x = 30,558,536,100/112,740
6. Step 6: Final answer
   x = 271,053.19