Finding the Third Proportional to 118,203 and 177,304.50

Step by Step Solution

1. Step 1: Write the proportion equation
   118,203 : 177,304.50 = 177,304.50 : x
2. Step 2: Convert to fraction form
   118,203/177,304.50 = 177,304.50/x
3. Step 3: Cross multiply
   118,203x = 177,304.50 × 177,304.50
4. Step 4: Simplify right side
   118,203x = 31,436,885,720.25
5. Step 5: Solve for x
   x = 31,436,885,720.25/118,203
6. Step 6: Final answer
   x = 265,956.75