Finding the Third Proportional to 106,133 and 156,769.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,133 : 156,769.50 = 156,769.50 : x
2. Step 2: Convert to fraction form
   106,133/156,769.50 = 156,769.50/x
3. Step 3: Cross multiply
   106,133x = 156,769.50 × 156,769.50
4. Step 4: Simplify right side
   106,133x = 24,576,676,130.25
5. Step 5: Solve for x
   x = 24,576,676,130.25/106,133
6. Step 6: Final answer
   x = 231,564.89