Finding the Third Proportional to 102,817.50 and 140,071.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,817.50 : 140,071.50 = 140,071.50 : x
2. Step 2: Convert to fraction form
   102,817.50/140,071.50 = 140,071.50/x
3. Step 3: Cross multiply
   102,817.50x = 140,071.50 × 140,071.50
4. Step 4: Simplify right side
   102,817.50x = 19,620,025,112.25
5. Step 5: Solve for x
   x = 19,620,025,112.25/102,817.50
6. Step 6: Final answer
   x = 190,823.79