Finding the Third Proportional to 140,106 and 299,893.50

Step by Step Solution

1. Step 1: Write the proportion equation
   140,106 : 299,893.50 = 299,893.50 : x
2. Step 2: Convert to fraction form
   140,106/299,893.50 = 299,893.50/x
3. Step 3: Cross multiply
   140,106x = 299,893.50 × 299,893.50
4. Step 4: Simplify right side
   140,106x = 89,936,111,342.25
5. Step 5: Solve for x
   x = 89,936,111,342.25/140,106
6. Step 6: Final answer
   x = 641,914.77