Finding the Third Proportional to 86,764 and 127,410

Step by Step Solution

1. Step 1: Write the proportion equation
   86,764 : 127,410 = 127,410 : x
2. Step 2: Convert to fraction form
   86,764/127,410 = 127,410/x
3. Step 3: Cross multiply
   86,764x = 127,410 × 127,410
4. Step 4: Simplify right side
   86,764x = 16,233,308,100
5. Step 5: Solve for x
   x = 16,233,308,100/86,764
6. Step 6: Final answer
   x = 187,097.28