Finding the Third Proportional to 91,506 and 142,603

Step by Step Solution

1. Step 1: Write the proportion equation
   91,506 : 142,603 = 142,603 : x
2. Step 2: Convert to fraction form
   91,506/142,603 = 142,603/x
3. Step 3: Cross multiply
   91,506x = 142,603 × 142,603
4. Step 4: Simplify right side
   91,506x = 20,335,615,609
5. Step 5: Solve for x
   x = 20,335,615,609/91,506
6. Step 6: Final answer
   x = 222,232.59