Finding the Third Proportional to 78,470 and 193,485.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,470 : 193,485.50 = 193,485.50 : x
2. Step 2: Convert to fraction form
   78,470/193,485.50 = 193,485.50/x
3. Step 3: Cross multiply
   78,470x = 193,485.50 × 193,485.50
4. Step 4: Simplify right side
   78,470x = 37,436,638,710.25
5. Step 5: Solve for x
   x = 37,436,638,710.25/78,470
6. Step 6: Final answer
   x = 477,082.18