Finding the Third Proportional to 118,909.50 and 174,098.25

Step by Step Solution

1. Step 1: Write the proportion equation
   118,909.50 : 174,098.25 = 174,098.25 : x
2. Step 2: Convert to fraction form
   118,909.50/174,098.25 = 174,098.25/x
3. Step 3: Cross multiply
   118,909.50x = 174,098.25 × 174,098.25
4. Step 4: Simplify right side
   118,909.50x = 30,310,200,653.06
5. Step 5: Solve for x
   x = 30,310,200,653.06/118,909.50
6. Step 6: Final answer
   x = 254,901.42