Finding the Third Proportional to 106,363 and 164,672.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,363 : 164,672.50 = 164,672.50 : x
2. Step 2: Convert to fraction form
   106,363/164,672.50 = 164,672.50/x
3. Step 3: Cross multiply
   106,363x = 164,672.50 × 164,672.50
4. Step 4: Simplify right side
   106,363x = 27,117,032,256.25
5. Step 5: Solve for x
   x = 27,117,032,256.25/106,363
6. Step 6: Final answer
   x = 254,947.98