Finding the Third Proportional to 91,946 and 197,014.50

Step by Step Solution

1. Step 1: Write the proportion equation
   91,946 : 197,014.50 = 197,014.50 : x
2. Step 2: Convert to fraction form
   91,946/197,014.50 = 197,014.50/x
3. Step 3: Cross multiply
   91,946x = 197,014.50 × 197,014.50
4. Step 4: Simplify right side
   91,946x = 38,814,713,210.25
5. Step 5: Solve for x
   x = 38,814,713,210.25/91,946
6. Step 6: Final answer
   x = 422,146.84