Finding the Third Proportional to 175,036.50 and 193,081.50

Step by Step Solution

1. Step 1: Write the proportion equation
   175,036.50 : 193,081.50 = 193,081.50 : x
2. Step 2: Convert to fraction form
   175,036.50/193,081.50 = 193,081.50/x
3. Step 3: Cross multiply
   175,036.50x = 193,081.50 × 193,081.50
4. Step 4: Simplify right side
   175,036.50x = 37,280,465,642.25
5. Step 5: Solve for x
   x = 37,280,465,642.25/175,036.50
6. Step 6: Final answer
   x = 212,986.81