Finding the Third Proportional to 102,799 and 164,038.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,799 : 164,038.50 = 164,038.50 : x
2. Step 2: Convert to fraction form
   102,799/164,038.50 = 164,038.50/x
3. Step 3: Cross multiply
   102,799x = 164,038.50 × 164,038.50
4. Step 4: Simplify right side
   102,799x = 26,908,629,482.25
5. Step 5: Solve for x
   x = 26,908,629,482.25/102,799
6. Step 6: Final answer
   x = 261,759.64