Finding the Third Proportional to 99,441 and 152,091

Step by Step Solution

1. Step 1: Write the proportion equation
   99,441 : 152,091 = 152,091 : x
2. Step 2: Convert to fraction form
   99,441/152,091 = 152,091/x
3. Step 3: Cross multiply
   99,441x = 152,091 × 152,091
4. Step 4: Simplify right side
   99,441x = 23,131,672,281
5. Step 5: Solve for x
   x = 23,131,672,281/99,441
6. Step 6: Final answer
   x = 232,617.05