Finding the Third Proportional to 78,381 and 152,820

Step by Step Solution

1. Step 1: Write the proportion equation
   78,381 : 152,820 = 152,820 : x
2. Step 2: Convert to fraction form
   78,381/152,820 = 152,820/x
3. Step 3: Cross multiply
   78,381x = 152,820 × 152,820
4. Step 4: Simplify right side
   78,381x = 23,353,952,400
5. Step 5: Solve for x
   x = 23,353,952,400/78,381
6. Step 6: Final answer
   x = 297,954.25