Finding the Third Proportional to 106,153.50 and 137,764.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,153.50 : 137,764.50 = 137,764.50 : x
2. Step 2: Convert to fraction form
   106,153.50/137,764.50 = 137,764.50/x
3. Step 3: Cross multiply
   106,153.50x = 137,764.50 × 137,764.50
4. Step 4: Simplify right side
   106,153.50x = 18,979,057,460.25
5. Step 5: Solve for x
   x = 18,979,057,460.25/106,153.50
6. Step 6: Final answer
   x = 178,788.81