Finding the Third Proportional to 78,190 and 152,491

Step by Step Solution

1. Step 1: Write the proportion equation
   78,190 : 152,491 = 152,491 : x
2. Step 2: Convert to fraction form
   78,190/152,491 = 152,491/x
3. Step 3: Cross multiply
   78,190x = 152,491 × 152,491
4. Step 4: Simplify right side
   78,190x = 23,253,505,081
5. Step 5: Solve for x
   x = 23,253,505,081/78,190
6. Step 6: Final answer
   x = 297,397.43