Finding the Third Proportional to 46,380 and 101,124

Step by Step Solution

1. Step 1: Write the proportion equation
   46,380 : 101,124 = 101,124 : x
2. Step 2: Convert to fraction form
   46,380/101,124 = 101,124/x
3. Step 3: Cross multiply
   46,380x = 101,124 × 101,124
4. Step 4: Simplify right side
   46,380x = 10,226,063,376
5. Step 5: Solve for x
   x = 10,226,063,376/46,380
6. Step 6: Final answer
   x = 220,484.33