Finding the Third Proportional to 78,363.50 and 102,083

Step by Step Solution

1. Step 1: Write the proportion equation
   78,363.50 : 102,083 = 102,083 : x
2. Step 2: Convert to fraction form
   78,363.50/102,083 = 102,083/x
3. Step 3: Cross multiply
   78,363.50x = 102,083 × 102,083
4. Step 4: Simplify right side
   78,363.50x = 10,420,938,889
5. Step 5: Solve for x
   x = 10,420,938,889/78,363.50
6. Step 6: Final answer
   x = 132,982.05