Finding the Third Proportional to 94,686 and 142,273.50

Step by Step Solution

1. Step 1: Write the proportion equation
   94,686 : 142,273.50 = 142,273.50 : x
2. Step 2: Convert to fraction form
   94,686/142,273.50 = 142,273.50/x
3. Step 3: Cross multiply
   94,686x = 142,273.50 × 142,273.50
4. Step 4: Simplify right side
   94,686x = 20,241,748,802.25
5. Step 5: Solve for x
   x = 20,241,748,802.25/94,686
6. Step 6: Final answer
   x = 213,777.63