Finding the Third Proportional to 123,071.50 and 175,990.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,071.50 : 175,990.50 = 175,990.50 : x
2. Step 2: Convert to fraction form
   123,071.50/175,990.50 = 175,990.50/x
3. Step 3: Cross multiply
   123,071.50x = 175,990.50 × 175,990.50
4. Step 4: Simplify right side
   123,071.50x = 30,972,656,090.25
5. Step 5: Solve for x
   x = 30,972,656,090.25/123,071.50
6. Step 6: Final answer
   x = 251,663.92