Finding the Third Proportional to 78,483 and 114,077.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,483 : 114,077.50 = 114,077.50 : x
2. Step 2: Convert to fraction form
   78,483/114,077.50 = 114,077.50/x
3. Step 3: Cross multiply
   78,483x = 114,077.50 × 114,077.50
4. Step 4: Simplify right side
   78,483x = 13,013,676,006.25
5. Step 5: Solve for x
   x = 13,013,676,006.25/78,483
6. Step 6: Final answer
   x = 165,815.22