Finding the Third Proportional to 106,725 and 142,813.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,725 : 142,813.50 = 142,813.50 : x
2. Step 2: Convert to fraction form
   106,725/142,813.50 = 142,813.50/x
3. Step 3: Cross multiply
   106,725x = 142,813.50 × 142,813.50
4. Step 4: Simplify right side
   106,725x = 20,395,695,782.25
5. Step 5: Solve for x
   x = 20,395,695,782.25/106,725
6. Step 6: Final answer
   x = 191,105.14