Finding the Third Proportional to 117,699 and 174,261.50

Step by Step Solution

1. Step 1: Write the proportion equation
   117,699 : 174,261.50 = 174,261.50 : x
2. Step 2: Convert to fraction form
   117,699/174,261.50 = 174,261.50/x
3. Step 3: Cross multiply
   117,699x = 174,261.50 × 174,261.50
4. Step 4: Simplify right side
   117,699x = 30,367,070,382.25
5. Step 5: Solve for x
   x = 30,367,070,382.25/117,699
6. Step 6: Final answer
   x = 258,006.19