Finding the Third Proportional to 78,406.50 and 118,339.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,406.50 : 118,339.50 = 118,339.50 : x
2. Step 2: Convert to fraction form
   78,406.50/118,339.50 = 118,339.50/x
3. Step 3: Cross multiply
   78,406.50x = 118,339.50 × 118,339.50
4. Step 4: Simplify right side
   78,406.50x = 14,004,237,260.25
5. Step 5: Solve for x
   x = 14,004,237,260.25/78,406.50
6. Step 6: Final answer
   x = 178,610.67