Finding the Third Proportional to 100,461 and 151,710

Step by Step Solution

1. Step 1: Write the proportion equation
   100,461 : 151,710 = 151,710 : x
2. Step 2: Convert to fraction form
   100,461/151,710 = 151,710/x
3. Step 3: Cross multiply
   100,461x = 151,710 × 151,710
4. Step 4: Simplify right side
   100,461x = 23,015,924,100
5. Step 5: Solve for x
   x = 23,015,924,100/100,461
6. Step 6: Final answer
   x = 229,103.08