Finding the Third Proportional to 99,984 and 159,007.50

Step by Step Solution

1. Step 1: Write the proportion equation
   99,984 : 159,007.50 = 159,007.50 : x
2. Step 2: Convert to fraction form
   99,984/159,007.50 = 159,007.50/x
3. Step 3: Cross multiply
   99,984x = 159,007.50 × 159,007.50
4. Step 4: Simplify right side
   99,984x = 25,283,385,056.25
5. Step 5: Solve for x
   x = 25,283,385,056.25/99,984
6. Step 6: Final answer
   x = 252,874.31