Finding the Third Proportional to 78,285.19 and 174,499.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,285.19 : 174,499.50 = 174,499.50 : x
2. Step 2: Convert to fraction form
   78,285.19/174,499.50 = 174,499.50/x
3. Step 3: Cross multiply
   78,285.19x = 174,499.50 × 174,499.50
4. Step 4: Simplify right side
   78,285.19x = 30,450,075,500.25
5. Step 5: Solve for x
   x = 30,450,075,500.25/78,285.19
6. Step 6: Final answer
   x = 388,963.44