Finding the Third Proportional to 78,264 and 152,604

Step by Step Solution

1. Step 1: Write the proportion equation
   78,264 : 152,604 = 152,604 : x
2. Step 2: Convert to fraction form
   78,264/152,604 = 152,604/x
3. Step 3: Cross multiply
   78,264x = 152,604 × 152,604
4. Step 4: Simplify right side
   78,264x = 23,287,980,816
5. Step 5: Solve for x
   x = 23,287,980,816/78,264
6. Step 6: Final answer
   x = 297,556.74