Finding the Third Proportional to 106,042.50 and 222,991.31

Step by Step Solution

1. Step 1: Write the proportion equation
   106,042.50 : 222,991.31 = 222,991.31 : x
2. Step 2: Convert to fraction form
   106,042.50/222,991.31 = 222,991.31/x
3. Step 3: Cross multiply
   106,042.50x = 222,991.31 × 222,991.31
4. Step 4: Simplify right side
   106,042.50x = 49,725,125,450.47
5. Step 5: Solve for x
   x = 49,725,125,450.47/106,042.50
6. Step 6: Final answer
   x = 468,916.95