Finding the Third Proportional to 46,185 and 99,493.50

Step by Step Solution

1. Step 1: Write the proportion equation
   46,185 : 99,493.50 = 99,493.50 : x
2. Step 2: Convert to fraction form
   46,185/99,493.50 = 99,493.50/x
3. Step 3: Cross multiply
   46,185x = 99,493.50 × 99,493.50
4. Step 4: Simplify right side
   46,185x = 9,898,956,542.25
5. Step 5: Solve for x
   x = 9,898,956,542.25/46,185
6. Step 6: Final answer
   x = 214,332.72