Finding the Third Proportional to 100,460 and 151,986

Step by Step Solution

1. Step 1: Write the proportion equation
   100,460 : 151,986 = 151,986 : x
2. Step 2: Convert to fraction form
   100,460/151,986 = 151,986/x
3. Step 3: Cross multiply
   100,460x = 151,986 × 151,986
4. Step 4: Simplify right side
   100,460x = 23,099,744,196
5. Step 5: Solve for x
   x = 23,099,744,196/100,460
6. Step 6: Final answer
   x = 229,939.72