Finding the Third Proportional to 102,602 and 154,200

Step by Step Solution

1. Step 1: Write the proportion equation
   102,602 : 154,200 = 154,200 : x
2. Step 2: Convert to fraction form
   102,602/154,200 = 154,200/x
3. Step 3: Cross multiply
   102,602x = 154,200 × 154,200
4. Step 4: Simplify right side
   102,602x = 23,777,640,000
5. Step 5: Solve for x
   x = 23,777,640,000/102,602
6. Step 6: Final answer
   x = 231,746.36