Finding the Third Proportional to 106,426 and 142,012.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,426 : 142,012.50 = 142,012.50 : x
2. Step 2: Convert to fraction form
   106,426/142,012.50 = 142,012.50/x
3. Step 3: Cross multiply
   106,426x = 142,012.50 × 142,012.50
4. Step 4: Simplify right side
   106,426x = 20,167,550,156.25
5. Step 5: Solve for x
   x = 20,167,550,156.25/106,426
6. Step 6: Final answer
   x = 189,498.34