Finding the Third Proportional to 105,898 and 148,119.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,898 : 148,119.50 = 148,119.50 : x
2. Step 2: Convert to fraction form
   105,898/148,119.50 = 148,119.50/x
3. Step 3: Cross multiply
   105,898x = 148,119.50 × 148,119.50
4. Step 4: Simplify right side
   105,898x = 21,939,386,280.25
5. Step 5: Solve for x
   x = 21,939,386,280.25/105,898
6. Step 6: Final answer
   x = 207,174.70