Finding the Third Proportional to 89,959.50 and 193,531.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,959.50 : 193,531.50 = 193,531.50 : x
2. Step 2: Convert to fraction form
   89,959.50/193,531.50 = 193,531.50/x
3. Step 3: Cross multiply
   89,959.50x = 193,531.50 × 193,531.50
4. Step 4: Simplify right side
   89,959.50x = 37,454,441,492.25
5. Step 5: Solve for x
   x = 37,454,441,492.25/89,959.50
6. Step 6: Final answer
   x = 416,347.82