Finding the Third Proportional to 102,176.50 and 151,806

Step by Step Solution

1. Step 1: Write the proportion equation
   102,176.50 : 151,806 = 151,806 : x
2. Step 2: Convert to fraction form
   102,176.50/151,806 = 151,806/x
3. Step 3: Cross multiply
   102,176.50x = 151,806 × 151,806
4. Step 4: Simplify right side
   102,176.50x = 23,045,061,636
5. Step 5: Solve for x
   x = 23,045,061,636/102,176.50
6. Step 6: Final answer
   x = 225,541.70