Finding the Third Proportional to 105,092 and 147,808

Step by Step Solution

1. Step 1: Write the proportion equation
   105,092 : 147,808 = 147,808 : x
2. Step 2: Convert to fraction form
   105,092/147,808 = 147,808/x
3. Step 3: Cross multiply
   105,092x = 147,808 × 147,808
4. Step 4: Simplify right side
   105,092x = 21,847,204,864
5. Step 5: Solve for x
   x = 21,847,204,864/105,092
6. Step 6: Final answer
   x = 207,886.47