Finding the Third Proportional to 105,207 and 147,982.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,207 : 147,982.50 = 147,982.50 : x
2. Step 2: Convert to fraction form
   105,207/147,982.50 = 147,982.50/x
3. Step 3: Cross multiply
   105,207x = 147,982.50 × 147,982.50
4. Step 4: Simplify right side
   105,207x = 21,898,820,306.25
5. Step 5: Solve for x
   x = 21,898,820,306.25/105,207
6. Step 6: Final answer
   x = 208,149.84