Finding the Third Proportional to 117,166.50 and 175,466.25

Step by Step Solution

1. Step 1: Write the proportion equation
   117,166.50 : 175,466.25 = 175,466.25 : x
2. Step 2: Convert to fraction form
   117,166.50/175,466.25 = 175,466.25/x
3. Step 3: Cross multiply
   117,166.50x = 175,466.25 × 175,466.25
4. Step 4: Simplify right side
   117,166.50x = 30,788,404,889.06
5. Step 5: Solve for x
   x = 30,788,404,889.06/117,166.50
6. Step 6: Final answer
   x = 262,774.81