Finding the Third Proportional to 102,796.50 and 149,819.25

Step by Step Solution

1. Step 1: Write the proportion equation
   102,796.50 : 149,819.25 = 149,819.25 : x
2. Step 2: Convert to fraction form
   102,796.50/149,819.25 = 149,819.25/x
3. Step 3: Cross multiply
   102,796.50x = 149,819.25 × 149,819.25
4. Step 4: Simplify right side
   102,796.50x = 22,445,807,670.56
5. Step 5: Solve for x
   x = 22,445,807,670.56/102,796.50
6. Step 6: Final answer
   x = 218,351.87