Finding the Third Proportional to 105,105 and 151,096.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,105 : 151,096.50 = 151,096.50 : x
2. Step 2: Convert to fraction form
   105,105/151,096.50 = 151,096.50/x
3. Step 3: Cross multiply
   105,105x = 151,096.50 × 151,096.50
4. Step 4: Simplify right side
   105,105x = 22,830,152,312.25
5. Step 5: Solve for x
   x = 22,830,152,312.25/105,105
6. Step 6: Final answer
   x = 217,212.81