Finding the Third Proportional to 100,333.50 and 137,583

Step by Step Solution

1. Step 1: Write the proportion equation
   100,333.50 : 137,583 = 137,583 : x
2. Step 2: Convert to fraction form
   100,333.50/137,583 = 137,583/x
3. Step 3: Cross multiply
   100,333.50x = 137,583 × 137,583
4. Step 4: Simplify right side
   100,333.50x = 18,929,081,889
5. Step 5: Solve for x
   x = 18,929,081,889/100,333.50
6. Step 6: Final answer
   x = 188,661.63