Finding the Third Proportional to 46,644 and 102,034.50

Step by Step Solution

1. Step 1: Write the proportion equation
   46,644 : 102,034.50 = 102,034.50 : x
2. Step 2: Convert to fraction form
   46,644/102,034.50 = 102,034.50/x
3. Step 3: Cross multiply
   46,644x = 102,034.50 × 102,034.50
4. Step 4: Simplify right side
   46,644x = 10,411,039,190.25
5. Step 5: Solve for x
   x = 10,411,039,190.25/46,644
6. Step 6: Final answer
   x = 223,202.11