Finding the Third Proportional to 116,851.50 and 175,079.25

Step by Step Solution

1. Step 1: Write the proportion equation
   116,851.50 : 175,079.25 = 175,079.25 : x
2. Step 2: Convert to fraction form
   116,851.50/175,079.25 = 175,079.25/x
3. Step 3: Cross multiply
   116,851.50x = 175,079.25 × 175,079.25
4. Step 4: Simplify right side
   116,851.50x = 30,652,743,780.56
5. Step 5: Solve for x
   x = 30,652,743,780.56/116,851.50
6. Step 6: Final answer
   x = 262,322.21