Finding the Third Proportional to 101,941.50 and 213,178.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,941.50 : 213,178.50 = 213,178.50 : x
2. Step 2: Convert to fraction form
   101,941.50/213,178.50 = 213,178.50/x
3. Step 3: Cross multiply
   101,941.50x = 213,178.50 × 213,178.50
4. Step 4: Simplify right side
   101,941.50x = 45,445,072,862.25
5. Step 5: Solve for x
   x = 45,445,072,862.25/101,941.50
6. Step 6: Final answer
   x = 445,795.61