Finding the Third Proportional to 78,178.50 and 152,468.25

Step by Step Solution

1. Step 1: Write the proportion equation
   78,178.50 : 152,468.25 = 152,468.25 : x
2. Step 2: Convert to fraction form
   78,178.50/152,468.25 = 152,468.25/x
3. Step 3: Cross multiply
   78,178.50x = 152,468.25 × 152,468.25
4. Step 4: Simplify right side
   78,178.50x = 23,246,567,258.06
5. Step 5: Solve for x
   x = 23,246,567,258.06/78,178.50
6. Step 6: Final answer
   x = 297,352.43