Finding the Third Proportional to 46,692 and 102,454.50

Step by Step Solution

1. Step 1: Write the proportion equation
   46,692 : 102,454.50 = 102,454.50 : x
2. Step 2: Convert to fraction form
   46,692/102,454.50 = 102,454.50/x
3. Step 3: Cross multiply
   46,692x = 102,454.50 × 102,454.50
4. Step 4: Simplify right side
   46,692x = 10,496,924,570.25
5. Step 5: Solve for x
   x = 10,496,924,570.25/46,692
6. Step 6: Final answer
   x = 224,812.06