Finding the Third Proportional to 138,185 and 213,385.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,185 : 213,385.50 = 213,385.50 : x
2. Step 2: Convert to fraction form
   138,185/213,385.50 = 213,385.50/x
3. Step 3: Cross multiply
   138,185x = 213,385.50 × 213,385.50
4. Step 4: Simplify right side
   138,185x = 45,533,371,610.25
5. Step 5: Solve for x
   x = 45,533,371,610.25/138,185
6. Step 6: Final answer
   x = 329,510.23