Finding the Third Proportional to 62,614 and 137,166.50

Step by Step Solution

1. Step 1: Write the proportion equation
   62,614 : 137,166.50 = 137,166.50 : x
2. Step 2: Convert to fraction form
   62,614/137,166.50 = 137,166.50/x
3. Step 3: Cross multiply
   62,614x = 137,166.50 × 137,166.50
4. Step 4: Simplify right side
   62,614x = 18,814,648,722.25
5. Step 5: Solve for x
   x = 18,814,648,722.25/62,614
6. Step 6: Final answer
   x = 300,486.29