Finding the Third Proportional to 100,866 and 137,054.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,866 : 137,054.50 = 137,054.50 : x
2. Step 2: Convert to fraction form
   100,866/137,054.50 = 137,054.50/x
3. Step 3: Cross multiply
   100,866x = 137,054.50 × 137,054.50
4. Step 4: Simplify right side
   100,866x = 18,783,935,970.25
5. Step 5: Solve for x
   x = 18,783,935,970.25/100,866
6. Step 6: Final answer
   x = 186,226.64