Finding the Third Proportional to 78,180 and 152,470.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,180 : 152,470.50 = 152,470.50 : x
2. Step 2: Convert to fraction form
   78,180/152,470.50 = 152,470.50/x
3. Step 3: Cross multiply
   78,180x = 152,470.50 × 152,470.50
4. Step 4: Simplify right side
   78,180x = 23,247,253,370.25
5. Step 5: Solve for x
   x = 23,247,253,370.25/78,180
6. Step 6: Final answer
   x = 297,355.50