Finding the Third Proportional to 78,320 and 152,696

Step by Step Solution

1. Step 1: Write the proportion equation
   78,320 : 152,696 = 152,696 : x
2. Step 2: Convert to fraction form
   78,320/152,696 = 152,696/x
3. Step 3: Cross multiply
   78,320x = 152,696 × 152,696
4. Step 4: Simplify right side
   78,320x = 23,316,068,416
5. Step 5: Solve for x
   x = 23,316,068,416/78,320
6. Step 6: Final answer
   x = 297,702.61