Finding the Third Proportional to 102,963 and 164,436.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,963 : 164,436.50 = 164,436.50 : x
2. Step 2: Convert to fraction form
   102,963/164,436.50 = 164,436.50/x
3. Step 3: Cross multiply
   102,963x = 164,436.50 × 164,436.50
4. Step 4: Simplify right side
   102,963x = 27,039,362,532.25
5. Step 5: Solve for x
   x = 27,039,362,532.25/102,963
6. Step 6: Final answer
   x = 262,612.42