Finding the Third Proportional to 99,582 and 152,409

Step by Step Solution

1. Step 1: Write the proportion equation
   99,582 : 152,409 = 152,409 : x
2. Step 2: Convert to fraction form
   99,582/152,409 = 152,409/x
3. Step 3: Cross multiply
   99,582x = 152,409 × 152,409
4. Step 4: Simplify right side
   99,582x = 23,228,503,281
5. Step 5: Solve for x
   x = 23,228,503,281/99,582
6. Step 6: Final answer
   x = 233,260.06