Finding the Third Proportional to 116,335 and 177,886

Step by Step Solution

1. Step 1: Write the proportion equation
   116,335 : 177,886 = 177,886 : x
2. Step 2: Convert to fraction form
   116,335/177,886 = 177,886/x
3. Step 3: Cross multiply
   116,335x = 177,886 × 177,886
4. Step 4: Simplify right side
   116,335x = 31,643,428,996
5. Step 5: Solve for x
   x = 31,643,428,996/116,335
6. Step 6: Final answer
   x = 272,002.66