Finding the Third Proportional to 78,410 and 152,860

Step by Step Solution

1. Step 1: Write the proportion equation
   78,410 : 152,860 = 152,860 : x
2. Step 2: Convert to fraction form
   78,410/152,860 = 152,860/x
3. Step 3: Cross multiply
   78,410x = 152,860 × 152,860
4. Step 4: Simplify right side
   78,410x = 23,366,179,600
5. Step 5: Solve for x
   x = 23,366,179,600/78,410
6. Step 6: Final answer
   x = 297,999.99