Finding the Third Proportional to 105,199 and 147,970

Step by Step Solution

1. Step 1: Write the proportion equation
   105,199 : 147,970 = 147,970 : x
2. Step 2: Convert to fraction form
   105,199/147,970 = 147,970/x
3. Step 3: Cross multiply
   105,199x = 147,970 × 147,970
4. Step 4: Simplify right side
   105,199x = 21,895,120,900
5. Step 5: Solve for x
   x = 21,895,120,900/105,199
6. Step 6: Final answer
   x = 208,130.50