Finding the Third Proportional to 101,004 and 151,506

Step by Step Solution

1. Step 1: Write the proportion equation
   101,004 : 151,506 = 151,506 : x
2. Step 2: Convert to fraction form
   101,004/151,506 = 151,506/x
3. Step 3: Cross multiply
   101,004x = 151,506 × 151,506
4. Step 4: Simplify right side
   101,004x = 22,954,068,036
5. Step 5: Solve for x
   x = 22,954,068,036/101,004
6. Step 6: Final answer
   x = 227,259