Finding the Third Proportional to 105,196 and 147,966

Step by Step Solution

1. Step 1: Write the proportion equation
   105,196 : 147,966 = 147,966 : x
2. Step 2: Convert to fraction form
   105,196/147,966 = 147,966/x
3. Step 3: Cross multiply
   105,196x = 147,966 × 147,966
4. Step 4: Simplify right side
   105,196x = 21,893,937,156
5. Step 5: Solve for x
   x = 21,893,937,156/105,196
6. Step 6: Final answer
   x = 208,125.19