Finding the Third Proportional to 78,260 and 152,600

Step by Step Solution

1. Step 1: Write the proportion equation
   78,260 : 152,600 = 152,600 : x
2. Step 2: Convert to fraction form
   78,260/152,600 = 152,600/x
3. Step 3: Cross multiply
   78,260x = 152,600 × 152,600
4. Step 4: Simplify right side
   78,260x = 23,286,760,000
5. Step 5: Solve for x
   x = 23,286,760,000/78,260
6. Step 6: Final answer
   x = 297,556.35