Finding the Third Proportional to 72,076 and 157,072

Step by Step Solution

1. Step 1: Write the proportion equation
   72,076 : 157,072 = 157,072 : x
2. Step 2: Convert to fraction form
   72,076/157,072 = 157,072/x
3. Step 3: Cross multiply
   72,076x = 157,072 × 157,072
4. Step 4: Simplify right side
   72,076x = 24,671,613,184
5. Step 5: Solve for x
   x = 24,671,613,184/72,076
6. Step 6: Final answer
   x = 342,299.98