Finding the Third Proportional to 62,658 and 137,722.50

Step by Step Solution

1. Step 1: Write the proportion equation
   62,658 : 137,722.50 = 137,722.50 : x
2. Step 2: Convert to fraction form
   62,658/137,722.50 = 137,722.50/x
3. Step 3: Cross multiply
   62,658x = 137,722.50 × 137,722.50
4. Step 4: Simplify right side
   62,658x = 18,967,487,006.25
5. Step 5: Solve for x
   x = 18,967,487,006.25/62,658
6. Step 6: Final answer
   x = 302,714.53