Finding the Third Proportional to 83,471.63 and 196,846.88

Step by Step Solution

1. Step 1: Write the proportion equation
   83,471.63 : 196,846.88 = 196,846.88 : x
2. Step 2: Convert to fraction form
   83,471.63/196,846.88 = 196,846.88/x
3. Step 3: Cross multiply
   83,471.63x = 196,846.88 × 196,846.88
4. Step 4: Simplify right side
   83,471.63x = 38,748,692,197.27
5. Step 5: Solve for x
   x = 38,748,692,197.27/83,471.63
6. Step 6: Final answer
   x = 464,213.94