Finding the Third Proportional to 78,801 and 175,096.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,801 : 175,096.50 = 175,096.50 : x
2. Step 2: Convert to fraction form
   78,801/175,096.50 = 175,096.50/x
3. Step 3: Cross multiply
   78,801x = 175,096.50 × 175,096.50
4. Step 4: Simplify right side
   78,801x = 30,658,784,312.25
5. Step 5: Solve for x
   x = 30,658,784,312.25/78,801
6. Step 6: Final answer
   x = 389,065.93