Finding the Third Proportional to 100,337.50 and 136,665.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,337.50 : 136,665.50 = 136,665.50 : x
2. Step 2: Convert to fraction form
   100,337.50/136,665.50 = 136,665.50/x
3. Step 3: Cross multiply
   100,337.50x = 136,665.50 × 136,665.50
4. Step 4: Simplify right side
   100,337.50x = 18,677,458,890.25
5. Step 5: Solve for x
   x = 18,677,458,890.25/100,337.50
6. Step 6: Final answer
   x = 186,146.34