Finding the Third Proportional to 102,822 and 155,529.25

Step by Step Solution

1. Step 1: Write the proportion equation
   102,822 : 155,529.25 = 155,529.25 : x
2. Step 2: Convert to fraction form
   102,822/155,529.25 = 155,529.25/x
3. Step 3: Cross multiply
   102,822x = 155,529.25 × 155,529.25
4. Step 4: Simplify right side
   102,822x = 24,189,347,605.56
5. Step 5: Solve for x
   x = 24,189,347,605.56/102,822
6. Step 6: Final answer
   x = 235,254.59