Finding the Third Proportional to 78,805 and 175,106

Step by Step Solution

1. Step 1: Write the proportion equation
   78,805 : 175,106 = 175,106 : x
2. Step 2: Convert to fraction form
   78,805/175,106 = 175,106/x
3. Step 3: Cross multiply
   78,805x = 175,106 × 175,106
4. Step 4: Simplify right side
   78,805x = 30,662,111,236
5. Step 5: Solve for x
   x = 30,662,111,236/78,805
6. Step 6: Final answer
   x = 389,088.40