Finding the Third Proportional to 110,029 and 166,096.50

Step by Step Solution

1. Step 1: Write the proportion equation
   110,029 : 166,096.50 = 166,096.50 : x
2. Step 2: Convert to fraction form
   110,029/166,096.50 = 166,096.50/x
3. Step 3: Cross multiply
   110,029x = 166,096.50 × 166,096.50
4. Step 4: Simplify right side
   110,029x = 27,588,047,312.25
5. Step 5: Solve for x
   x = 27,588,047,312.25/110,029
6. Step 6: Final answer
   x = 250,734.33