Finding the Third Proportional to 78,266 and 152,612

Step by Step Solution

1. Step 1: Write the proportion equation
   78,266 : 152,612 = 152,612 : x
2. Step 2: Convert to fraction form
   78,266/152,612 = 152,612/x
3. Step 3: Cross multiply
   78,266x = 152,612 × 152,612
4. Step 4: Simplify right side
   78,266x = 23,290,422,544
5. Step 5: Solve for x
   x = 23,290,422,544/78,266
6. Step 6: Final answer
   x = 297,580.34