Finding the Third Proportional to 72,962 and 157,172.50

Step by Step Solution

1. Step 1: Write the proportion equation
   72,962 : 157,172.50 = 157,172.50 : x
2. Step 2: Convert to fraction form
   72,962/157,172.50 = 157,172.50/x
3. Step 3: Cross multiply
   72,962x = 157,172.50 × 157,172.50
4. Step 4: Simplify right side
   72,962x = 24,703,194,756.25
5. Step 5: Solve for x
   x = 24,703,194,756.25/72,962
6. Step 6: Final answer
   x = 338,576.17