Finding the Third Proportional to 78,468.50 and 193,483.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,468.50 : 193,483.50 = 193,483.50 : x
2. Step 2: Convert to fraction form
   78,468.50/193,483.50 = 193,483.50/x
3. Step 3: Cross multiply
   78,468.50x = 193,483.50 × 193,483.50
4. Step 4: Simplify right side
   78,468.50x = 37,435,864,772.25
5. Step 5: Solve for x
   x = 37,435,864,772.25/78,468.50
6. Step 6: Final answer
   x = 477,081.44