Finding the Third Proportional to 34,752 and 78,696

Step by Step Solution

1. Step 1: Write the proportion equation
   34,752 : 78,696 = 78,696 : x
2. Step 2: Convert to fraction form
   34,752/78,696 = 78,696/x
3. Step 3: Cross multiply
   34,752x = 78,696 × 78,696
4. Step 4: Simplify right side
   34,752x = 6,193,060,416
5. Step 5: Solve for x
   x = 6,193,060,416/34,752
6. Step 6: Final answer
   x = 178,207.31