Finding the Third Proportional to 105,208 and 152,283

Step by Step Solution

1. Step 1: Write the proportion equation
   105,208 : 152,283 = 152,283 : x
2. Step 2: Convert to fraction form
   105,208/152,283 = 152,283/x
3. Step 3: Cross multiply
   105,208x = 152,283 × 152,283
4. Step 4: Simplify right side
   105,208x = 23,190,112,089
5. Step 5: Solve for x
   x = 23,190,112,089/105,208
6. Step 6: Final answer
   x = 220,421.57