Finding the Third Proportional to 99,597 and 152,301

Step by Step Solution

1. Step 1: Write the proportion equation
   99,597 : 152,301 = 152,301 : x
2. Step 2: Convert to fraction form
   99,597/152,301 = 152,301/x
3. Step 3: Cross multiply
   99,597x = 152,301 × 152,301
4. Step 4: Simplify right side
   99,597x = 23,195,594,601
5. Step 5: Solve for x
   x = 23,195,594,601/99,597
6. Step 6: Final answer
   x = 232,894.51