Finding the Third Proportional to 47,460 and 100,146

Step by Step Solution

1. Step 1: Write the proportion equation
   47,460 : 100,146 = 100,146 : x
2. Step 2: Convert to fraction form
   47,460/100,146 = 100,146/x
3. Step 3: Cross multiply
   47,460x = 100,146 × 100,146
4. Step 4: Simplify right side
   47,460x = 10,029,221,316
5. Step 5: Solve for x
   x = 10,029,221,316/47,460
6. Step 6: Final answer
   x = 211,319.45