Finding the Third Proportional to 81,656 and 174,975.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,656 : 174,975.50 = 174,975.50 : x
2. Step 2: Convert to fraction form
   81,656/174,975.50 = 174,975.50/x
3. Step 3: Cross multiply
   81,656x = 174,975.50 × 174,975.50
4. Step 4: Simplify right side
   81,656x = 30,616,425,600.25
5. Step 5: Solve for x
   x = 30,616,425,600.25/81,656
6. Step 6: Final answer
   x = 374,943.98