Finding the Third Proportional to 118,216 and 177,322

Step by Step Solution

1. Step 1: Write the proportion equation
   118,216 : 177,322 = 177,322 : x
2. Step 2: Convert to fraction form
   118,216/177,322 = 177,322/x
3. Step 3: Cross multiply
   118,216x = 177,322 × 177,322
4. Step 4: Simplify right side
   118,216x = 31,443,091,684
5. Step 5: Solve for x
   x = 31,443,091,684/118,216
6. Step 6: Final answer
   x = 265,980.00