Finding the Third Proportional to 78,516 and 174,446.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,516 : 174,446.50 = 174,446.50 : x
2. Step 2: Convert to fraction form
   78,516/174,446.50 = 174,446.50/x
3. Step 3: Cross multiply
   78,516x = 174,446.50 × 174,446.50
4. Step 4: Simplify right side
   78,516x = 30,431,581,362.25
5. Step 5: Solve for x
   x = 30,431,581,362.25/78,516
6. Step 6: Final answer
   x = 387,584.46