Finding the Third Proportional to 91,730 and 197,023.50

Step by Step Solution

1. Step 1: Write the proportion equation
   91,730 : 197,023.50 = 197,023.50 : x
2. Step 2: Convert to fraction form
   91,730/197,023.50 = 197,023.50/x
3. Step 3: Cross multiply
   91,730x = 197,023.50 × 197,023.50
4. Step 4: Simplify right side
   91,730x = 38,818,259,552.25
5. Step 5: Solve for x
   x = 38,818,259,552.25/91,730
6. Step 6: Final answer
   x = 423,179.54