Finding the Third Proportional to 85,480 and 197,870.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,480 : 197,870.50 = 197,870.50 : x
2. Step 2: Convert to fraction form
   85,480/197,870.50 = 197,870.50/x
3. Step 3: Cross multiply
   85,480x = 197,870.50 × 197,870.50
4. Step 4: Simplify right side
   85,480x = 39,152,734,770.25
5. Step 5: Solve for x
   x = 39,152,734,770.25/85,480
6. Step 6: Final answer
   x = 458,033.86