Finding the Third Proportional to 78,752.25 and 119,585.25

Step by Step Solution

1. Step 1: Write the proportion equation
   78,752.25 : 119,585.25 = 119,585.25 : x
2. Step 2: Convert to fraction form
   78,752.25/119,585.25 = 119,585.25/x
3. Step 3: Cross multiply
   78,752.25x = 119,585.25 × 119,585.25
4. Step 4: Simplify right side
   78,752.25x = 14,300,632,017.56
5. Step 5: Solve for x
   x = 14,300,632,017.56/78,752.25
6. Step 6: Final answer
   x = 181,590.14