Finding the Third Proportional to 101,344 and 152,624

Step by Step Solution

1. Step 1: Write the proportion equation
   101,344 : 152,624 = 152,624 : x
2. Step 2: Convert to fraction form
   101,344/152,624 = 152,624/x
3. Step 3: Cross multiply
   101,344x = 152,624 × 152,624
4. Step 4: Simplify right side
   101,344x = 23,294,085,376
5. Step 5: Solve for x
   x = 23,294,085,376/101,344
6. Step 6: Final answer
   x = 229,851.65