Finding the Third Proportional to 172,092 and 253,072

Step by Step Solution

1. Step 1: Write the proportion equation
   172,092 : 253,072 = 253,072 : x
2. Step 2: Convert to fraction form
   172,092/253,072 = 253,072/x
3. Step 3: Cross multiply
   172,092x = 253,072 × 253,072
4. Step 4: Simplify right side
   172,092x = 64,045,437,184
5. Step 5: Solve for x
   x = 64,045,437,184/172,092
6. Step 6: Final answer
   x = 372,158.13