Finding the Third Proportional to 103,506 and 151,848

Step by Step Solution

1. Step 1: Write the proportion equation
   103,506 : 151,848 = 151,848 : x
2. Step 2: Convert to fraction form
   103,506/151,848 = 151,848/x
3. Step 3: Cross multiply
   103,506x = 151,848 × 151,848
4. Step 4: Simplify right side
   103,506x = 23,057,815,104
5. Step 5: Solve for x
   x = 23,057,815,104/103,506
6. Step 6: Final answer
   x = 222,767.91