Finding the Third Proportional to 78,314 and 152,684

Step by Step Solution

1. Step 1: Write the proportion equation
   78,314 : 152,684 = 152,684 : x
2. Step 2: Convert to fraction form
   78,314/152,684 = 152,684/x
3. Step 3: Cross multiply
   78,314x = 152,684 × 152,684
4. Step 4: Simplify right side
   78,314x = 23,312,403,856
5. Step 5: Solve for x
   x = 23,312,403,856/78,314
6. Step 6: Final answer
   x = 297,678.63