Finding the Third Proportional to 81,886.50 and 173,614.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,886.50 : 173,614.50 = 173,614.50 : x
2. Step 2: Convert to fraction form
   81,886.50/173,614.50 = 173,614.50/x
3. Step 3: Cross multiply
   81,886.50x = 173,614.50 × 173,614.50
4. Step 4: Simplify right side
   81,886.50x = 30,141,994,610.25
5. Step 5: Solve for x
   x = 30,141,994,610.25/81,886.50
6. Step 6: Final answer
   x = 368,094.80