Finding the Third Proportional to 91,742.50 and 145,952

Step by Step Solution

1. Step 1: Write the proportion equation
   91,742.50 : 145,952 = 145,952 : x
2. Step 2: Convert to fraction form
   91,742.50/145,952 = 145,952/x
3. Step 3: Cross multiply
   91,742.50x = 145,952 × 145,952
4. Step 4: Simplify right side
   91,742.50x = 21,301,986,304
5. Step 5: Solve for x
   x = 21,301,986,304/91,742.50
6. Step 6: Final answer
   x = 232,193.22